Probability

Problem 801

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A multiple-choice test contains 24 questions, each with five answers. Assume a student just guesses on each question. what is the probability the student answers less than Four questions correctly? (Answer to the nearest three decimals 0.000).
Answer: \square Next page

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Problem 802

The correlation coefficient for weed growth in a lake and temperature was found to be 0.915. The scatter plot for the data would have dots tightly clustered around a line sloping up to the right The scatter plot for the data would have dots clustered around a line sloping up to the left The scatter plot for the data would have an array of dots with no discernible pattern to them The scatter plot for the data would have a cluster of dots in the middle of the graph

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Problem 803

Calculate the probability P(0.58<z<1.74)\mathrm{P}(0.58<\mathrm{z}<1.74) for a Standard Normal Random Variable using the tables.

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Problem 804

Find the percent of 3,408 students at Van Buren High with incomes between \$1,000 and \$2,000, and those under \$800.

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Problem 805

Find the percentage of riders at Splash City Water Park who go on more than 10 rides, given a normal distribution with mean 8.4 and SD 2. Round to the nearest percent.

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Problem 806

At Van Buren High, students' summer incomes are normally distributed: mean \$1,751, SD \$421. Find: a. Percent with incomes between \$1,000 and \$2,000? b. Students with incomes less than \$800?

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Problem 807

What is the probability that the next three blood donors all have Type A blood if 40%40\% of the population has it?

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Problem 808

What is the probability that Myra picks a metallic blue bracelet from 22 total bracelets: 11 gold, 6 emerald, and the rest blue?

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Problem 809

What is the probability of winning a lottery by matching 5 numbers from 1 to 43 and 1 from 1 to 34 with one ticket?

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Problem 810

A box has 12 transistors (5 defective). Find the probability for selecting 5: a. all defective, b. none defective.

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Problem 811

In a lottery, players pick 4 numbers from 1 to 54 and 1 from 1 to 43. What is the probability of winning at least \$300?

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Problem 812

Find the probability of drawing 3 clubs from a 52-card deck. Round to six decimal places.

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Problem 813

Find the probability that all 3 dealt cards are clubs from a 52-card deck.
P(all 3 cards are clubs)=?P(\text{all 3 cards are clubs}) = ?

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Problem 814

Find the probability of drawing 4 clubs from a 52-card deck. Round your answer to six decimal places.

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Problem 815

10. There are a number of blue marbles and a number of green marbles in a bag. Nirmala is told that the odds against selecting a blue marble from the bag are 4:7. Which of the following describes the number of blue marbles in the bag? A. 4 B. 7 C. 11

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Problem 816

A chi-square distribution with 4 degrees of freedom is graphed below. The region under the curve to the right of 9 is shaded.
Find the area of the shaded region. Round your answer to three decimal places. \square

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Problem 817

A survey of 499 workers included the question "In your opinion, is it OK for a company to monitor its employees' Internet use?" The possible responses were: (1) Only after informing the employees, (2) Does not need to inform the employees, (3) Only when company believes an employee is misusing the Internet, (4) Company does not have the right, and (5) Only if an employee has previously misused the Internet. The table below contains the results for the respondents. Complete parts a through c below. \begin{tabular}{lrrrrr} \hline Response & 1 & 2 & 3 & 4 & 5 \\ Number of Respondents & 165 & 209 & 100 & 9 & 16 \\ \hline \end{tabular} a. Calculate the probability that a randomly chosen respondent would indicate that there should be some restriction concerning the company's right to monitor Internet use.

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Problem 818

Smart Search Announcements Assignments Discussions Grades People Pages Files Syllabus Quizzes Modules Collaborations New Analytics Office 365 McGraw Hill Campus Coggle Drive
Started: Nov 28 at 11:17am Quiz Instructions
Question 1 2 pts
Find f0.95f_{0.95} for each of the following degrees of freedom. Write out your answers precise to two decimal places, e.g., 1.35, 0.67, 3.82.
1. ν1=df1=6,ν2=df2=6\nu_{1}=d f_{1}=6, \nu_{2}=d f_{2}=6 \square
2. ν1=df1=6\nu_{1}=d f_{1}=6 and ν2=df2=12\nu_{2}=d f_{2}=12 \square
3. ν1=df1=12\nu_{1}=d f_{1}=12 and ν2=df2=30\nu_{2}=d f_{2}=30 \square (3) Que (3) Que (3) Que (3) Que (3) Que Time Runnin Attempt due: N 1 Hour, 59 N

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Problem 819

Assume XX has a Poisson distribution with parameter 4.3. Find E(Xe0.6X)E\left(X e^{-0.6 X}\right).

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Problem 820

63 Une expérience aléatoire est représentée par l'arbre pondéré ci-dessous. - Justifier que P(S)=0,63P(S)=0,63.

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Problem 821

QUESTION 5 - 1 POINT A lottery scratch-off ticket offers the following payout amounts and respective probabilities. What is the expected payout of the game? Round your answer to the nearest cent. \begin{tabular}{|c|c|} \hline Probability & \begin{tabular}{c} Payout \\ Amount \end{tabular} \\ \hline 0.724 & $0\$ 0 \\ \hline 0.225 & $10\$ 10 \\ \hline 0.05 & $5,000\$ 5,000 \\ \hline 0.001 & $20,000\$ 20,000 \\ \hline \end{tabular}
Provide your answer below: \ \square$ FEEDBACK

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Problem 822

QUESTION 12 - 1 POINT The questions on a test consist of 1 multiple choice, 2 essays, and 10 free responses. If the questions are ordered randomly, what is the probability that the first question is a free response? Give your answer as a simplified fraction.
Provide your answer below: \square FEEDBACK

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Problem 823

espacio un juo se la esuestral? 4) 12 B) 24 C) 144 D) 288

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Problem 824

Three 5-L flasks, fixed with pressure gauges and small valves, each contain 6 g of gas at 271 K . Flask A contains H2\mathrm{H}_{2}, flask B contains CH4\mathrm{CH}_{4}, and flask C contains He. Rank the flask contents in terms of the following:
Part 1 of 6 pressure: A>C>BA>C>B \square .
Part 2 of 6 average molecular kinetic energy: \square C>A>BC>A>B J \square
Part 3 of 6 diffusion rate after valve is opened: A=B=CA=B=C \square

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Problem 825

Try Again Your answer is incorrect.
A company has both male and female employees. The company has shirts and jackets with the company logo to give away to employees. For each of the company's 196 employees, a manager asked which piece of clothing the employee prefers. The preferences, based on gender, are summarized in the tab below. \begin{tabular}{|c|c|c|} \cline { 2 - 3 } \multicolumn{1}{c|}{} & Shirt & Jacket \\ \hline Male & 34 & 88 \\ \hline Female & 8 & 66 \\ \hline \end{tabular}
Suppose an employee of the company is chosen at random. Answer each part. Do not round intermediate computations, and round your answers to the nearest hundredth. (If necessary, consult a list of formulas.) (a) What is the probability that the employee prefers a jacket? \square (b) What is the probability that the employee is female or prefers a jacket? \square

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Problem 826

Example A die is rolled 100 times. What is the probability that a 5 is rolled at most 20 times?

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Problem 827

3. Se tiene una baraja de naipes de 52 cartas de la cual se extraen, simrreemplazo, 4 cartas al azar. ¿Cuál es la probabilidad de que las 4 cartas sean ases? A) 1312111052515049\frac{13 \cdot 12 \cdot 11 \cdot 10}{52 \cdot 51 \cdot 50 \cdot 49} B) 432152515049\frac{4 \cdot 3 \cdot 2 \cdot 1}{52 \cdot 51 \cdot 50 \cdot 49} C) 14\frac{1}{4} D) 113\frac{1}{13}

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Problem 828

4. Si 3 personas lanzan un dado cada uno. ¿Cuál es la probabilidad de que todas ellas obtengan el mismo número? A) 16\frac{1}{6} B) 136\frac{1}{36} C) 172\frac{1}{72} D) 1216\frac{1}{216}

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Problem 829

Reuben won a charity raffle. His prize will be randomly selected from the 9 prizes shown below. The prizes include 3 rings, 1 camera, and 5 headsets. (a) Find the odds against Reuben winning a ring. \square (b) Find the odds in favor of Reuben winning a ring. \square Explanation Check

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Problem 830

Finding the odds in favor and against
Mary won a charity raffle. Her prize will be randomly selected from the 9 prizes shown below. The prizes include 4 rings, 1 camera, and 4 headsets. Prizes 0000 (1) (1) (1) (a) Find the odds against Mary winning a ring. \square (b) Find the odds in favor of Mary winning a ring. \square Explanation Check o 2024 McGraw Hill LLC. All Rights Reserved. Terms of Use | Privacy

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Problem 831

Ushirimi 1(3+7=101 \quad(3+7=10 pikd do jenes anetare te komunitetit it zejedhur? b) NE dy grupe tö studiuarn rezultol se: GI pêrbęhet proj 100 personash nga tê cilet 60 janê njohês te kompjuterit ka njohuri ; G2 pêrbêhet prej 50 personave nga té cilet 20 janê njohês té kompjutert dive pjesa tjeter nuk ka. zagidhet rastésisht nje person . 1 -Sa Eshic probnbibiliteti qe ai njeh kompjuterin? 2-Recultoi se personi i zgiedhus

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Problem 832

b) Die Masse von Gummibären ist annähernd normalverteilt mit dem Erwartungswert μ=2,3 g\mu=2,3 \mathrm{~g} und der Standardabweichung σ=0,1 g\sigma=0,1 \mathrm{~g}.
Gummibären, die zu leicht oder zu schwer sind, werden aussortiert. Abweichungen von bis zu ±0,25 g\pm 0,25 \mathrm{~g} vom Erwartungswert werden toleriert. 1) Berechnen Sie die Wahrscheinlichkeit, mit der ein zufälig ausgewählter Gummibär aussortiert wird.

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Problem 833

If two variables have a positive association, then large values of one variable are associated with \square values of the other. \square

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Problem 834

The length of time between charges of a cellphone has a norma distribution with a mean of 30 h and a standard deviation of 8 h
If you were to observe the length of time that passes before a cellphone needs to be charged, what is the likelihood that this time will be between 24 h and 36 h ? Make sure to round your answer to the nearest tenth of a percent. Show your work for fu

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Problem 835

Find the zz-score for a value of 99 in a normal distribution with mean 92 and standard deviation 6. Round to two decimals.

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Problem 836

Find the percentage of people with an IQ over 130, given a normal distribution with mean 100 and standard deviation 15.

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Problem 837

Discuss the statement and tell what possible misuse or misinterpretation may exist. Suppose seventy-five percent of accidents occur within 13 miles of home. Therefore, it is safer not to drive within 13 miles of home.
Discuss the statement and tell what possible misuse or misinterpretation may exist. Choose the correct answer below. A. The statement is not valid because most accidents occur within 13 miles of home. B. The statement is valid because most accidents occur within 13 miles of home. C. The statement is not valid because people may drive within 13 miles of home more often. D. The statement is valid because people may drive within 13 miles of home more often.

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Problem 838

Fill in the blanks with an appropriate word, phrase, or symbol(s). According to the empirical rule, in a normal distribution, approximately \qquad %\% of the data lie within plus or minus 1 standard deviation of the mean, approximately minus 2 standard deviations of the mean, and approximately \qquad %\% of the data lie within plus or minus 3 standard deviations of the mean. \qquad %\% of the data lie within plus or \qquad According to the empirical rule, in a normal distribution, approximately \square \% of the data lie within plus or minus 1 standard deviation of the mean, approximately minus 2 standard deviations of the mean, and approximately \square %\% of the data lie within plus or minus 3 standard deviations of the mean. \square %\% of the data lie within plus or

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Problem 839

The table to the right shows selected ages of licensed drivers in one country and the corresponding percentiles. Find the percentage of drivers who are at least 45. \begin{tabular}{cc} Age & Percentile \\ 75 & 98 \\ 65 & 90 \\ 55 & 79 \\ 45 & 58 \\ 35 & 40 \\ 25 & 12 \\ 20 & 5 \end{tabular}
The percentage of drivers who are at least 45 is \square \%. (Type a whole number.)

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Problem 840

According to a local weather network, the probability of snow on Halloween is 0.4.
If you were trying to decide whether or not to go Trick pr Treating for candy, what are the odds in favour of no snow on Halloween?
Select one: a. 2:32: 3 b. 2:52: 5 c. 3:23: 2 d. 5:25: 2

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Problem 841

بحوي كيس 4 كريات ملونة لا نميز بينها باللمس كريتّين بيضاويتّين وكرية سو داء و كرية حمر اء . 1/ نسحب كرينين من الكيس على الثو الي دون ارجاع الكرية المسحوبة الاولى الى الكيس .
أ / الشثين مخططا تيّين فيه كل الحالات المدكنة ب / عين مجمو عة الامكانيات جـ / احسب احنمال الحوادث التّالية : سحب كرينين من نفس اللون : A B : محب كرية على الاقل بيضاء : سحب كرية بيضاء وكرة حمر اء : C 2/ يربح اللاعب ديناران اذا سحب كريبّين من نفس اللون ويخسر دينارا اذا سحب كريتين مختلفتين في اللون نعرف المتغير العشو اني X الذي يرفق بكل سحبة قيمة الربح للاعب
أ - عين القيم الموكنة لـ X ب ب - عرف قانون احتمال ج - احسب الامل الرياضياتي للمنتير العشو اني د - دل اللعبة رابحة بالنسبة للاعب ام خسارة

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Problem 842

If X is a discrete random variable. With the following CDF: F(x)={0,x<20.22x<50.55x<70.87x<919xF(x)=\left\{\begin{array}{lc} 0, & x<2 \\ 0.2 & 2 \leq x<5 \\ 0.5 & 5 \leq x<7 \\ 0.8 & 7 \leq x<9 \\ 1 & 9 \leq x \end{array}\right.
Select one: a. 0 b. 1 c. 0.2 a. 0.5 e 0.3

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Problem 843

1. A children's block game consists of tiles numbered 1 through 5 in 2 colors - orange and blue. Suppose two tiles are drawn from this stack. a. Illustrate the possible outcomes in a tree diagram or list if the first tile is not put back. b. What is the probability of getting a pair without replacement? c. Illustrate the possible outcomes in a tree diagram or list if the first tile is put back. d. What is the probability of getting a pair with replacement?

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Problem 844

not XX P(notX)=P(\operatorname{not} X)=
Subtract. 1P(x)=251-P(x)=\frac{2}{5}

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Problem 845

Lengths of pregnancies are normally distributed with a mean of 278 days and a standard deviation of 18 days. A baby is considered premature if the pregnancy length is at or below the fourth percentile (P4)\left(P_{4}\right) of all pregnancy lengths. Find the length of pregnancy in days that separates the premature babies from those that are not considered premature.
Round to the nearest integer.

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Problem 846

4 Multiple Choice 5 points You pick a card at random.
What is P(\mathrm{P}( less than 9)) ? 13\frac{1}{3} 23\frac{2}{3} 33\frac{3}{3} or 1

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Problem 847

3. Each vertex of a triangle is colored white, black, green, blue, or orange. All configurations are equally probable. What is the probability that in a randomly chosen configuration there are exactly two vertices of the same color?

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Problem 848

(5) More Examples for Practice Q./Lef f(x)=0.2,0<x<5f(x)=0.2,0<x<5
Find Op(x<2.8)p(2)p(x>1.5)p(2<4)O p(x<2.8) \quad p(2) p(x>1.5) \quad p(2<4)

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Problem 849

5 Numeric 5 points
The retirement age of NFL players is normally distributed with a mean of 33 years old and a standard deviation of 2 years. Find the zz-score for a player who retires at 36 years of age. (Do not round) Type your answer...

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Problem 850

6 Fill in the Blank 10 points Assume the following situation is normally distributed. Find the zz-score and answer the connected probability statement. Roadworthy tires last an average of 30,000 miles with a standard deviation of 2,400 miles. What proportion of the tires last less than 27,500 miles? type your answer... \square \% Give as a percent rounded to the nearest hundredths place.
If 4000 tires are sold by the tire store in June, about how many, are expected to last less than 27,500 miles? type your answer... \square tires Round to a whole number.

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Problem 851

1. Given the number of trials and the probability of success, determine the probability indicated: a. n=15,p=0.4\mathrm{n}=15, \mathrm{p}=0.4, find P(4\mathrm{P}(4 successes )) b. n=12,p=0.2\mathrm{n}=12, \mathrm{p}=0.2, find P(2\mathrm{P}(2 failures )) c. n=20,p=0.05n=20, p=0.05, find PP (at least 3 successes)

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Problem 852

Question 2 1 pts
You randomly select one card from a 52-card deck. Find the probability of selecting: an ace or a 9 ? 10 132\frac{13}{2} 513\frac{5}{13} 213\frac{2}{13}

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Problem 853

Question 15 1 pts
Solve the problem.
If you are given odds 9 to 3 in favor of winning a bet, what is the probability of winning the bet? 34\frac{3}{4} 3 14\frac{1}{4} 112\frac{1}{12}

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Problem 854

Question 4 1 pts
Solve the problem involving probabilities with independent events.
You are dealt one card from a 52 card deck. Then the card is replaced in the deck, the deck is shuffled, and you draw again. Find the probability of getting a picture card the first time and a club the second time. 352\frac{3}{52} 113\frac{1}{13} 14\frac{1}{4} 313\frac{3}{13}

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Problem 855

A survey showed that 72%72 \% of adults need correction (eyeglasses, contacts, surgery, etc.) for their eyesight. If 20 adults are randomly selected, find the probability that no more than 1 of them need correction for their eyesight. Is 1 a significantly low number of adults requiring eyesight correction?
The probability that no more than 1 of the 20 adults require eyesight correction is 0.000 . (Round to three decimal places as needed.) Is 1 a significantly low number of adults requiring eyesight correction? Note that a small probability is one that is less than 0.05 . A. No, because the probability of this occurring is not small. B. No, because the probability of this occurring is small. C. Yes, because the probability of this occurring is small. D. Yes, because the probability of this occurring is not small.

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Problem 856

Question 6 1 pts
Solve the problem.
Numbered disks are placed in a box and one disk is selected at random. If there are 7 red disks numbered 1 through 7 , and 4 yellow disks numbered 8 through 11, find the probability of selecting a disk numbered 3 , given that a red disk is selected. 411\frac{4}{11} 17\frac{1}{7} 711\frac{7}{11}

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Problem 857

Question 13 1 pts
Solve the problem.
An architect is considering bidding for the design of a new shopping mall. The cost of drawing plans and submitting a model is \$10,000. The probability of being awarded the bid is 0.12 , and anticipated profits are \$100,000, resulting in a possible gain of this amount minus the \$10,000 cost for plans and a model. What is the expected value in this situation? \$2000 \$11,000 \$10,800 \$12,000

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Problem 858

Question 14 1 pts
Solve the problem that involves computing expected values in a game of chance.
A game is played using one die. If the die is rolled and shows a 2 , the player wins $8\$ 8. If the die shows any number other than 2, the player wins nothing. If there is a charge of $1\$ 1 to play the game, what is the game's expected value? \7.00$1$0.33.7.00 -\$1 \$0.33 . \quad .33$

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Problem 859

Find the winner using plurality-with-elimination for candidates A, B, C. How does a vote change affect the outcome? Is monotonicity met?

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Problem 860

Question 22 1 pts
Use a table of z-scores and percentiles to find the percentage (to the nearest whole percentage) of data items in a normal distribution that lie between: z=1 and z=2z=1 \text { and } z=2 6\% 12\% 8\% 14\%

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Problem 861

Question 24 1 pts
Use a table of z-scores and percentiles to find the percentage of data items in a normal distribution that lie between: z=0.2z=-0.2 and z=0.2z=0.2 50\% 15.86\% 57.93\% 42.07\%

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Problem 862

A real estate company offers a series of three webinars. 2,000 people attended the first webinar 65%65 \% of the people who attended the first webinar attended the second webinar, and 44%44 \% of the people who attended both the first and second webinar attended the third webinar. Of those who attended the first but did not attend the second webinar, 31%31 \% attended the third webinar. How many people attended both the first and third webinars but did not attend the second webinar?
Answer Preview:

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Problem 863

Examine the following table. \begin{tabular}{|l|l|l|l|l|l|} \hline x\mathbf{x} & 1 & 2 & 3 & 4 & 5 \\ \hlineP(x)P(x) & 0.2 & 0.3 & 0.4 & 0.1 & 0.05 \\ \hline \end{tabular}
Does this table represent a probability distribution? Explain your answer. a. Yes, because the sum of the probabilites is less than one. b. Yes, because the sum of the probabilities is more than one. c. No, because the sum of the probabilities is more than one. d. No, because the sum of the probabilities is less than one.

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Problem 864

3- A biology department is conducting an experiment and needs to select 7 plants from a group of 10 plants for testing. How many different groups of plants can the researchers select, if: (3 marks) a- the arrangement is important (permutation): b- the arrangement is not important (combination):
4- A factory produces 5 batches of items daily, and the probability that any batch contains defective items is 0.20\mathbf{0 . 2 0}. (binominal) (4 marks)
1. What is the probability that none of the batches are defective today?
2. What is the probability that exactly 2 batches are defective today? And what does it mean?
3. Find the mean.
4. Calculate the variance

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Problem 865

3.12 An investment firm offers its customers municipal bonds that mature after varying numbers of years. Given that the cumulative distribution function of TT, the number of years to maturity for a randomly selected bond, is F(t)={0,t<1,14,1t<3,12,3t<5,34,5t<7,1,t7,F(t)=\left\{\begin{array}{ll} 0, & t<1, \\ \frac{1}{4}, & 1 \leq t<3, \\ \frac{1}{2}, & 3 \leq t<5, \\ \frac{3}{4}, & 5 \leq t<7, \\ 1, & t \geq 7, \end{array}\right. find (a) P(T=5)P(T=5);

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Problem 866

2. 2%2 \% of newly manufactured processors have damaged cores. A laptop with a damaged core overheats; overheating also appears in 0.002%0.002 \% of laptops with fully functional cores. We assume that malfunctions in different laptops are independent. a) A laptop overheats. What is the chance that it has a damaged core? b) A client bought two laptops, and both of them overheated. What is the probability that at least one of them has a damaged core? c) Using the Poisson theorem, approximate the probability that among 200 overheating laptops which were serviced in a repair shop, at most 2 were equipped with a fully functional processor.

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Problem 867

The distribution of weights of 9-ounce bags of a particular brand of potato chips is approximately normal. The mean is 9.06 ounces and the standard deviation is 0.09 ounces.
Use the Empirical Rule (68-95-99.7 Rule) to answer the questions below. The percentage of bags weighing between 8.97 and 9.15 ounces is 68 \square 0%0 \%
The percentage of bags weighing between 8.97 and 9.06 ounces is 34 \square 0%0 \%.
The percentage of bags weighing less than 8.97 ounces is \square 16 0%0 \%.
The percentage of bags weighing more than 9.24 ounces is \square \%. Enter an integer or decimal number [more..]

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Problem 868

4) Using the area in figure, find the area to the left of Z=1\mathbf{Z}=\mathbf{- 1}. a) 0.84 b) 0.75 c) 0.16 d) 0.89

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Problem 869

3. When going to lunch, a student chooses randomly one of three cafeterias C1,C2,C3C_{1}, C_{2}, C_{3}, with probabilities 2p,p2 p, p and 13p1-3 p, respectively (p(0,1/3)(p \in(0,1 / 3) is a fixed parameter). We assume that students choose cafeterias independently of each other and that choices on different days are also independent. a) In order to approximate p,10p, 10 students were asked how many times they chose cafeteria C1C_{1} during the previous 5 days. The answers were: 0,0,0,1,1,1,1,2,2,40,0,0,1,1,1,1,2,2,4. For which pp will the empirical mean connected with the sample be equal to the expected value of the number of choices of cafeteria C1C_{1} ? b) Let us assume that the queueing times in cafeterias C1,C2C_{1}, C_{2} and C3C_{3} (measured in minutes) are random variables from exponential distributions with parameters 1,1/21,1 / 2 and 1/31 / 3, respectively. During the next 30 days, a student plans to visit cafeteria C115C_{1} 15 times, cafeteria C210C_{2} 10 times, and cafeteria C35C_{3} 5 times. Calculate the expected value of the total amount of time (in minutes) which will be spent on queueing during those 30 days.

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Problem 870

6. The random variable XX has a distribution with density g(x)=Cx31[1,)(x)g(x)=C x^{-3} 1_{[1, \infty)}(x). a) Determine CC. b) Determine P(X[12,3])\mathbb{P}\left(X \in\left[\frac{1}{2}, 3\right]\right).

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Problem 871

1. Two dice are rolls simultaneously. Determine the probability that: a) the number 6 will come out at least once. b) the sum of two numbers greater than 8.

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Problem 872

The expected value of random variable XX a. is the same as the median b. Exists if the random variable is limited c. always exists d. Is well defined if EX<\mathbb{E}|X|<\infty

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Problem 873

a ball is drawn randomly from a jar that contains 13 ed balls, 16 green balls, and 9 blue balls, find the probability of the following events.
You may answer using a fraction or decimal rounded to three places. (a) A red ball is drawn: \square (b) A green ball is drawn: \square (c) A blue ball is drawn: \square (d) A black ball is drawn: \square (e) A red or green ball is drawn: \square

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Problem 874

5. Returns from stocks in a certain market are modeled by variables with a Laplace distribution.

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Problem 875

For the wheel pictured on the right, assume that a person spins the pointer and is awarded the amount indicated by the pointer. Determine the person's expectation assuming the spinner has not yet been spun.
What is the expectation? \ \square$ (Simplify your answer. Type an integer or a decimal.)

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Problem 876

mutant gene is 8%8 \% in the population. If the probability that a randomly chosen woman will develop breast cancer is 0.1 , then what is the probability that a randomly chosen breast cancer patient in this population will carry the mutant BRCA1 gene? \square
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8. [-/1 Points]

DETAILS MY NOTES SCALCLS1 12.3.060. ASK YOUR TEACHER PRACTICE ANOTHER
DNA evidence is often used in criminal trials. Suppose a murder has been committed and the perpetrator's blood is found at the crime scene. DNA from the blood is analyzed and it is found that the probability of an innocent person having DNA that matches is 10910^{-9}. Let MM be the event 'DNA match' and II be the event 'innocent'. Therefore, we have P(MI)=109P(M \mid I)=10^{-9}. What is really of interest is the quantity P(IM)P(I \mid M), the probability that a person whose DNA matches is innocent. Calculate this quantity if the community has 1000 people, and therefore the probability that a randomly chosen person is innocent is P(I)=999/1000P(I)=999 / 1000. You can assume that the probability of a match for the guilty person is 1 (that is, P(MI)=1P\left(M \mid I^{\prime}\right)=1 ). (Round your answer to three decimal places.) \square ×107\times 10^{-7}
Submit Answer Home MyAssignments Request Extension

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Problem 877

Assume that life insurance covers a period of nn years from the moment the contract is signed. If the insured person dies during this period, the so-called sum insmed is paid. If death does not occur during this time, the contract ends without any payout. Suppose that the premium for this msurance is calculated as 101%101 \% of the expected value of the payout. Find the formula for the preminm if the insured person's lifetime is a random variable with an exponential distribution with parameter λ>0\lambda>0, and the sum insured is

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Problem 878

Find the percentage of buyers who paid more than \17,500foracarwithameanof$16,500andSDof$1000.Answer:17,500 for a car with a mean of \$16,500 and SD of \$1000. Answer: \square \%$.

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Problem 879

Find the data item for a normally distributed set with mean 300, SD 60, at zz-score z=1.5z=-1.5.

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Problem 880

Find the probability of landing on 'a' when spinning a 7-section spinner with 3 sections labeled 'a': P(a)=37P(a) = \frac{3}{7}.

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Problem 881

Find the probability of spinning an even number and flipping heads with a spinner and a coin.

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Problem 882

Find the probability that a randomly chosen student is in chorus given they are not in photography, from 60 students.

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Problem 883

A biologist tagged 168 fish, then caught 201 fish later, finding 22 tagged. Estimate the total fish using proportions.

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Problem 884

Find the probability that a randomly chosen employee has at least one child given they are married: P(childmarried)\mathrm{P}(\text{child} | \text{married}).

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Problem 885

What is the probability a student has a part-time job given they have a cell phone, if P(A)=0.8P(A) = 0.8, P(B)=0.45P(B) = 0.45, and P(AB)=0.3P(A \cap B) = 0.3?

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Problem 886

Find the probability P\mathrm{P} (pool | not two-story) given 60%60\% two-story, 24%24\% with a pool, 15%15\% both.

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Problem 887

Find the probability P\mathrm{P} (checked bags | final destination) using the given passenger data.

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Problem 888

Find the probability P\mathrm{P} (pass \mid girl) given 50 girls passed and total students is 120.

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Problem 889

Find the probability that a randomly chosen gym member does not attend classes, given they track their fitness. Use P(No ClassesTrack Fitness)P(\text{No Classes} | \text{Track Fitness}).

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Problem 890

Find the conditional probability P\mathrm{P} (vanilla \mid medium or large) using the given milkshake order frequencies.

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Problem 891

Find the probability P\mathrm{P}(checked bags | final destination) using the given data on checked bags and final destinations.

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Problem 892

What is the experimental probability of rolling a 4 based on Greg's tosses: 1(7), 2(5), 3(6), 4(4), 5(8), 6(6)?

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Problem 893

What is the probability of a patient needing treatment for a broken bone during ski season if there are 160 broken bones out of 260 total injuries?

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Problem 894

Juego de dados: Tira 3 dados de 4 caras. Gana un punto si suma 7 o 10, pierde si suma 3, 4, 5 o 12. Responde las preguntas sobre probabilidades.

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Problem 895

What is the probability of moving forward an even number of spaces when spinning a pointer and rolling a number cube?

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Problem 896

Sarah spins a four-sided spinner with numbers 0,1,1,30, 1, 1, 3.
(i) What number is most likely to land? (ii) What's the probability of landing on 1 twice? (iii) Given 72916384\frac{729}{16384} for landing on 3 on the nnth spin, find nn.

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Problem 897

Assume that the weights of ripe watermelons grown at a particular farm are normally distributed with a mean of 40 pounds and a standard deviation of 2.6 pounds. Deternine the percent of watermelons that weigh between 38.76 pounds and 45.87 pounds.
Click here to view page 1 of the standard normal distribution table. Click here to viewpage 2 of the standard normal distribution table. bb \square \% (Round to two decimal places as needed.)
Area under a normal curve tô the left of z (page 1) \begin{tabular}{|c|c|c|c|c|c|c|c|c|c|c|} \hline \multicolumn{11}{|l|}{Table of Areas to the Left of zz When zz Is Negative} \\ \hline zz & . 00 & .01 & . 02 & . 03 & . 04 & .05 & . 06 & .07 & . 08 & . 09 \\ \hline 3.4-3.4 & . 0003 & . 0003 & . 0003 & . 0003 & . 0003 & . 0003 & . 0003 & . 0003 & . 0003 & . 0002 \\ \hline -3.3 & . 0005 & . 0005 & . 0005 & . 0004 & . 0004 & . 0004 & . 0004 & . 0004 & . 0004 & . 0003 \\ \hline -3.2 & . 0007 & . 0007 & . 0006 & . 0006 & . 0006 & . 0006 & . 0006 & & . 0005 & .00007 \\ \hline -3.1 & . 0010 & . 0009 & . 0009 & . 0009 & 0008 & . 0008 & & . 00011 & . 0010 & . 0010 \\ \hline 3.0-3.0 & .0013 & . 0013 & . 0013 & . 0012 & .0012 & . 0011 & . 0015 & . 0015 & . 0014 & . 0014 \\ \hline 2.9-2.9 & . 0019 & . 0018 & . 0018 & .0017 .0023 .0032 & . 0016 & . 0022 & . 0021 & . 0021 & . 0020 & . 0019 \\ \hline -2.8 & . 0026 & .0025 & . 0024 & .0032 & . 0031 & . 0030 & . 0029 & . 0028 & .0027 & . 0026 \\ \hline -2.7 & .0035 & .0034 .0045 & . 0044 & . 0043 & . 0041 & . 0040 & . 0039 & . 0038 & . 0037 & . 0036 \\ \hline -2.6 & .0047 & .0045 .0060 & . 0059 & .0057 & . 0055 & . 0054 & . 0052 & . 0051 & . 0049 & . 0048 \\ \hline -2.5 -2.4 & .0062 & .0060 .0080 & . 0078 & . 0075 & . 0073 & . 0071 & . 0069 & . 0068 & . 0066 & .0064 \\ \hline -2.4 -2.3 & . 00107 & . 0104 & . 0102 & . 0099 & . 0096 & . 0094 & . 0091 & . 0089 & .0087 & .0084 \\ \hline 2.2-2.2 & . 0139 & . 0136 & . 0132 & . 0129 & . 0125 & .0122 & .0119 & .0150 & . 0146 & . 0143 \\ \hline 2.1-2.1 & .0179 & . 0174 & . 0170 & . 0166 & . 0162 & . 0202 & .0197 & . 0192 & . 0188 & . 0183 \\ \hline 2.0-2.0 & .0228 & .0222 & . 0217 & . 0212 & ,0207 & & . 0250 & . 0244 & . 0239 & . 0233 \\ \hline 1.9-1.9 & . 0287 & .0281 & . 0274 & .0268 & .0262 & .0322 & . 0314 & .0307 & . 0301 & . 0294 \\ \hline 1.8-1.8 & 0359 & .0351 & . 0344 & .0336 & (0329 & & & & & \\ \hline \end{tabular}
Area under a normal curve to the left of zz (page 2)
Table of Areas to the Left of zz When zz Is Positive

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Problem 898

2. In a bowl, there are 3 peaches, 2 apples, 6 lemons, and 4 plums. If 1 piece of fruit to be selected at random, what is the probability it will be a lemon? A. 215\frac{2}{15} B. 315\frac{3}{15} C. 415\frac{4}{15} D. 615\frac{6}{15}

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Problem 899

Points: 0 of 1
A certain flight arrives on time 90 percent of the time. Suppose 200 flights are randomly selected. Use the normal approximation to the binomial to approximate the probability that (a) exactly 186 flights are on time. (b) at least 186 flights are on time. (c) fewer than 186 flights are on time. (d) between 186 and 192, inclusive are on time. (a) P(186)=P(186)= \square (Round to four decimal places as needed.)

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Problem 900

Casey is going to wear a gray sportcoat and is trying to decide what tie he should wear to work. In his closet, he has 21 ties, 12 of which he feels go well with the sportcoat. If Casey selects one tie at random, determine the probablity and the odds of the tie going well or not going well with the sportcoat.
The probability the tie goes well with the jacket is 47\frac{4}{7} (Simplify your answer. Type an integer or a fraction.)
The probability the tie will not go well with the jacket is 37\frac{3}{7}. (Simplify your answer. Type an integer or a fraction.)
The odds against the tie going well with the jacket is 3:43: 4. (Simplify your answer. Type a ratio using a colon.) The odds in favor of the tie going well with the jacket is 3:43: 4. (Simplify your answer. Type a ratio using a colon.)

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