Data & Statistics

Problem 6201

32500 صندوق، 2000 دئر 2000 بنك ، 525 نور وميار، 875 عمولة وكلاء الشراء، 2500 جمارك مشتريات، 3500 مردود المبيعات، 2000 ايجار، 625 خصم مسموح به، 32500 مصاريف نتل مبيعات، 1250 عمولة وكلاء البيع، 14000 أنات، 175000 عملاء، 1750 مردود مشتريات، 4000 مسحوبات، 13635 خصم مكتسب، 1125 فواند داننة، 6000 أوراق مالية ، 8750أوراق دفع، 1300 مصروف دعاية وإعلان ، 13625 موردون، 127500 راس المال. إذا علمت أن بضاعة أخر المدة قدرت ب 35875 المطلوب: 1. إعداد قائمة الدخل (قَائمة نتيجة الاعمال) عن السنة المنتهية في 2018/12/31

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Problem 6202

Unit 3 17) Scientists want to find out if playing video games with violent content makes kids more prone to violar behavior. The scientists might have children come into a lab and have a certain number play a highty, violent video game, another group play a somewhat violent video game, and then a last group play a game with no violence. The scientists would then watch the kids play with other children and record any violent behavior. This is an example of an \qquad study. a. experimental b. observational 18) The average size sultcase that can fit under an airplane seat is 15.25 inches. The margin of error is ±2.5\pm 2.5 inches. Which of the following would not fit under the airplane seat? a. 12.5 b. 13 c. 17 d. 17.5
For \#19-20 indicate which sampling technique is described. 19) Kevin wants to find out the opinions of college students about the availability of parking spaces. He surveys students as they walk by his car. a. simple random b. stratified random c. systematic random d. cluster e. convenience 20) A teacher wants to survey 10 of her 30 students. She places their names on popsicle sticks and draws the sticks out of the cup to see who will take the survey. a. simple random b. stratified random c. systematic random d. cluster e. convenience 21) Is this question an Open Question or a Closed Question: What is your favorite flavor of ice cream? a. Open Question b. Closed Question
For \#22-23 use the table that represents the average number of inches of precipitation per month in Seattle to answer the questions. \begin{tabular}{|c|c|} \hline Month & \begin{tabular}{c} Average Rainfall per \\ Month (inches) \end{tabular} \\ \hline January & 4.81 \\ \hline February & 3.43 \\ \hline March & 3.51 \\ \hline April & 2.77 \\ \hline May & 2.16 \\ \hline June & 1.63 \\ \hline July & 0.79 \\ \hline August & 0.97 \\ \hline September & 1.52 \\ \hline October & 3.41 \\ \hline November & 7.05 \\ \hline December & 5.85 \\ \hline \end{tabular} 22) What is the median of the data? a. 3.16 b. 3.09 c. 4.16 d. 1.56 23) What is the IQR of the data? a. 4.16 b. 1.56 c. 2.59 d. 3.16

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Problem 6203

State the range for the set of points. {(40,105),(2,84),(62,71),(30,94),(20,71),(40,110)}\{(-40,-105),(2,84),(-62,71),(30,-94),(-20,71),(-40,-110)\} Range ={105,110,94,71,30}=\{-105,-110,-94,71,30\} Range ={62,110,94,71,84}=\{-62,-110,-94,71,84\} Range ={105,40,94,71,84}=\{-105,-40,-94,71,84\} Range ={110,105,94,71,84}=\{-110,-105,-94,71,84\}

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Problem 6204

A college food court surveyed 649 students to see how many drink coffee, how many drink soda, and how many drink tea. The Venn diagram below shows the results. (Each number gives the number of students who fall into that Venn diagram category.)
All students in the survey (a) How many of the students drink exactly one of the three drinks? \square students (b) How many of the students drink soda? \square students (c) How many of the students drink both tea and coffee, but don't drink soda? \square students

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Problem 6205

Which of the following statements best describes the scatterplot pictured? I. A linear model appears to be a good fit. II. The variables are positively associated. III. The variables are negatively associated. A. I only B. II only C. III only D. I and II only E. II and III only

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Problem 6206

\qquad \qquad =n12kxyˉ=+AF=55=P(AB)P(B)\begin{array}{l} \Rightarrow=\sqrt{n-12 k-x} \\ \bar{y}=\infty+A F \\ =\frac{5}{5} \\ =\frac{P(A \cap B)}{P(B)} \end{array} Stay false is 0.63 . Assume the player will be given five truelfalse statements let the random and the classifications of the statements (true or false) are independent, five attempts. The variable C represent the number of times a player probability distribution of CC is given in the table. \begin{tabular}{c|c|c|c|c|c|c} CC & 0 & 1 & 2 & 3 & 4 & 5 \\ \hlineP(C)P(C) & 0.0069 & 0.0590 & 0.2010 & 0.3423 & 0.2914 & 0.0992 \end{tabular} greater than the mean? A) 0.0992 B) 0.2914 C) 0.3423 D) 0.3906 E) 0.7329

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Problem 6207

3. If two coins are flipped, what is the probability of getting at least one head?

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Problem 6208

* Problem 2
Groundwater well is known to begin pumping sand once it becomes exploited (old), and this may damage the subsequent water treatment processes. To solve this problem, two alternatives are proposed: - A new well can be drilled at a capital cost of $580,000\$ 580,000 with minimal operating and maintenance expenses of $11,500\$ 11,500 per year. - A settling tank can be constructed ahead of the treatment processes which will cost $230,000\$ 230,000 to build and $42,400\$ 42,400 per year to operate and maintain.
The salvage value of either option at EOY 20 is 10%10 \% of the capital investment. Using a MARR of 5%5 \%.

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Problem 6209

Propriété Indépendance et intersection AA et BB sont indépendants si et seulement si p(AB)=p(A)×p(B)p(A \cap B)=p(A) \times p(B)
Ex 1 : Voici la répartition des campings d'un groupe touristique. \begin{tabular}{|l|c|c|c|} \cline { 2 - 4 } \multicolumn{1}{c|}{} & Mer & Campagne & Total \\ \hline Avec animations & 114 & 16 & 130 \\ \hline Sans animations & 30 & 40 & 70 \\ \hline Total & 144 & 56 & 200 \\ \hline \end{tabular}
On choisit un camping au hasard. On note les événements: - MM : «Le camping choisi se trouve à la mer. » - A : «Le camping choisi propose des animations. ». Les affirmations suivantes sont-elles vraies ou fausses? a) p(AM)=p(A)×p(M)p(A \cap M)=p(A) \times p(M). b) AA et MM sont indépendants. c) p(AM)=p(M)×pM(A)p(A \cap M)=p(M) \times p_{M}(A). d) Aˉ\bar{A} et MM ne sont pas indépendants.

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Problem 6210

Question
Watch Video Show Examples When Hakeem runs the 400 meter dash, his finishing times are normally distributed with a mean of 70 seconds and a standard deviation of 2 seconds. Using the empirical rule, determine the interval of times that represents the middle 68%68 \% of his finishing times in the 400 meter race.
Answer Attempt 1 out of 2 ( \square \square Submit Answer

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Problem 6211

2. If SS is the entire sample space: P( S)=P(\mathrm{~S})=

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Problem 6212

Calculate the coefficient of variation for systolic and diastolic blood pressure measurements given:
Systolic: 118, 128, 159, 98, 157, 120, 114, 137, 126, 120 Diastolic: 80, 75, 73, 53, 88, 90, 60, 64, 72, 81
Find systolic CV: %\square \%.

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Problem 6213

Find Julia's unit rate of free throws made per minute during the game.

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Problem 6214

Find the average number of box springs completed over 3 days (136, 165, 149) and estimate for 5 days. Choices: F. 90, G. 150, H. 450, J. 750, K. 1,050.

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Problem 6215

Write an inequality to compare new book titles published in 2009 (1,487,8291,487,829) and 2010 (4,137,1744,137,174).

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Problem 6216

Describe the pattern of values moving left to right in Ms. Low's table. Does it apply to all rows or just some?

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Problem 6217

Fill in the missing values in the table using totals. If unknown + 67 = 99, then unknown = 32. Total students who play sports and an instrument = 35.

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Problem 6218

Calculate the coefficient of variation for male and female pulse rates and compare them. Males: 88, 70, 61, 70, 70, 52, 63, 52, 84, 72, 62, 62, 96, 56, 66; Females: 67, 81, 80, 70, 73, 86, 86, 88, 88, 90, 91, 71, 90, 81, 80.

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Problem 6219

Find the numbers for a Venn diagram where P(AB)=1130P(A|B) = \frac{11}{30}, 45 own homes, and 30 live in San Francisco.

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Problem 6220

Relationship A pays more than Relationship B. Given B's data, which equation for A is correct? y=15.4xy=15.4 x, y=149xy=149 x, y=15.2xy=15.2 x, y=16.4xy=16.4 x?

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Problem 6221

Find the residual for a 29 g chick from an egg with a breadth of 40 mm using the equation y^=47+2x\hat{y}=-47+2x.

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Problem 6222

The box plot represents the number of minutes customers spend on hold when calling a company. Number of Minutes Spent on Hold
What is the upper quartile of the data? 3 5 6 8 Mark this and return Save and Exit Next Submit

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Problem 6223

The data set represents the number of miles Mary jogged each day for the past nine days. 6,7,5,0,6,12,8,6,96,7,5,0,6,12,8,6,9
What is the outlier of the data? 0 6 7 12

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Problem 6224

The data set below has a lower quartile of 13 and an upper quartile of 37 . 1,12,13,15,18,20,35,37,40,781,12,13,15,18,20,35,37,40,78
Which statement is true about any outliers of the data set? The data set does not have any outliers. The lowest value, 1 , is the only outlier. The greatest value, 78 , is the only outlier. Both 1 and 78 are outliers.

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Problem 6225

 [6 3348663186 8] \text { [6 } 3348663186 \text { 8] }
How many comparisons will be performed in this array using sequential search for the searchltem 6? 7 2 1 4 3 6 5 0

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Problem 6226

The table below shows the amount of rainfall and the temperature at noon in each of 8 cities. Create a scatter plot for the data. \begin{tabular}{|c|c|} \hline \begin{tabular}{c} Amount of rainfall \\ (in millimeters) \end{tabular} & \begin{tabular}{c} Temperature \\ (in C{ }^{\circ} \mathrm{C} ) \end{tabular} \\ \hline 3 & 13 \\ \hline 5 & 9 \\ \hline 7 & 10 \\ \hline 8 & 8 \\ \hline 10 & 5 \\ \hline 11 & 6 \\ \hline 12 & 2 \\ \hline 14 & 3 \\ \hline \end{tabular}

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Problem 6227

```latex \begin{tabular}{|l|c|c|c|c|} \hline \multicolumn{1}{|c|}{ Artikelbez. } & Artikelnr. & Einzelpreis & Anzahl & Gesamtpreis \\ \hline Drucker IP 236 & 120478 & 235,70\,€ & 2 & 471,42\,€ \\ \hline Monitor 17 Zoll & 524712 & 365,80\,€ & 3 & 1097,90\,€ \\ \hline CD-Rohling & 258413 & 0,75\,€ & 200 & 150\,€ \\ \hline Infrarot-Maus & 569322 & 10,75\,€ & 5 & 53,75\,€ \\ \hline Toner-Kartusche IC 23 & 442523 & 99,85\,€ & 4 & 395,40\,€ \\ \hline \end{tabular}
Netto
19 \% MwSt.
Brutto
The user took a picture with their phone and the text was extracted above. The user then had a dialogue with an AI Assistant to help clarify the instructions.
Dialogue Transcript:
assistant: Hallo! Es sieht so aus, als ob du eine Tabelle mit Artikeldetails und Preisen vor dir hast. Kannst du mir bitte genauer sagen, welche Berechnung oder Information du benötigst? Möchtest du vielleicht den Gesamtbetrag inklusive Mehrwertsteuer berechnen oder gibt es eine andere spezifische Aufgabe, bei der ich dir helfen kann? Lass es mich wissen!
user: Ja
assistant: Super! Um dir besser helfen zu können, brauche ich eine klarere Vorstellung davon, was genau du berechnen möchtest. Geht es darum, den Gesamtbetrag inklusive Mehrwertsteuer zu ermitteln, oder gibt es etwas anderes, das du bearbeitet haben möchtest? Bitte teile mir mit, worauf du hinaus willst.
user: I uploaded an image and extracted the following: * Text: \begin{tabular}{|l|r|r|c|c|} \hline \multicolumn{1}{|c|}{ Artikelbez. } & Artikelnr. & Einzelpreis & Anzahl & \multicolumn{1}{c|}{ Gesamtpreis } \\ \hline Drucker IP 236 & 120478 & 235,70\,€ & 2 & 471,42\,€ \\ \hline Monitor 17 Zoll & 524712 & 365,80\,€ & 3 & 1097,40\,€ \\ \hline CD-Rohling & 258413 & 0,75\,€ & 200 & 1,50\,€ \\ \hline Infrarot-Maus & 569322 & 10,75\,€ & 5 & 53,75\,€ \\ \hline Toner-Kartusche IC 23 & 442523 & 99,85\,€ & 4 & 395,40\,€ \\ \hline \end{tabular}
Netto 19 \% MwSt. Brutto \square \square \square ```

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Problem 6228

Question Watch V
Find the median and mean of the data set below: 47,15,6,49,45,3047,15,6,49,45,30
Answer Attempt 1 out of 2
Median = \square Mean = \square Submit Answer

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Problem 6229

KEA CY PA-Common Core Mat 122.core.learn.edgenuity.com/player/ pookmarks Edgenuity Scanlon PLC HR 6-74 Downloads HMH Central Login s) (s) WIP Home - William Pen Cool Math Games - TIME REMAINING 59:39
1 28 (4) A: 茔 6 \% 8 9 (1)
The band leader is recording the number of students in the seventh and eighth grades who play flute and clarinet. Which describes the variables in the two-way table? \begin{tabular}{|c|c|c|c|} \hline \multicolumn{4}{|c|}{ Band Assignments } \\ \hline & Flute & Clarinet & Total \\ \hline 7th 7^{\text {th }} Grade & 19 & 24 & 43 \\ \hline 8th 8^{\text {th }} Grade & 22 & 18 & 40 \\ \hline Total & & & \\ \hline \hline \end{tabular} type of instrument and total number of seventh and eighth graders type of instrument and total number of seventh graders grade number and number of clarinet players grade number and type of instrument Mark this and retum Save and Exit Nex: Submit

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Problem 6230

KEA CY PA-Common Core Mat 122.core.learn.edgenuity.com/player/ et bookmarks Edgenuity Scanlon PLC HR 6-74 Downloads HMH Central Login Is Is WP\overline{W P} Home - William Pen Cool Math Games - Common Core Math 8 Q2 1 2 8 4 ( 8 6 7 8 9 10 TIMEREMAINING 58:47
The lunch coordinator is recording the drink choices of the students in her school. She has partially completed the table. Which describes the variables in the two-way table? \begin{tabular}{|c|c|c|c|} \hline \multicolumn{4}{|c|}{ Lunch Drinks } \\ \hline & Milk & Water & Total \\ \hline Girls & & 52 & 85 \\ \hline Boys & 41 & & 93 \\ \hline Total & & & \\ \hline \hline \end{tabular} gender and number who chose milk gender and drink choice number who chose milk and number of boys number who chose milk and total students

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Problem 6231

KEA CY PA-Common Core MaL
122. core learn edgenuity com/player/ Cool Math Games - bookmarks Edgenuity Scanlon PLC HR 6-74 Downloads HMH Central Login Home - William Pen English Common Core Math 8 Q2 TIMEREMANING 58:19 1 2 3 8 8 5 5 8 9 18 s] Is] WP Home-William Pen

Mr. Hanai recorded the outfit choices of the students for picture day from two periods. Which describes the variables in the two-way table? \begin{tabular}{|c|c|c|c|} \hline \multicolumn{4}{|c|}{ Outfits for School Pictures } \\ \hline & Pants & Skirt & Total \\ \hline 3rd 3^{\text {rd }} Period & 31 & 23 & 54 \\ \hline 4th 4^{\text {th }} Period & 23 & 35 & 58 \\ \hline Total & 54 & 58 & 112 \\ \hline \hline \end{tabular} type of outfit and total students type of outfit and total students in third period period number and type of outfit period number and total students who wore pants

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Problem 6232

Provious Noxt Sample Space and Venn Diagrams: Mastery Submit Test Tools Into 3
Select the correct answer. Two events, E1E_{1} and E2E_{2}, are defined for a random experiment. What is the probability that at least one of the two events occurs in any trial of the experiment? A. P(E1)P(E2)P(E1E2)P\left(E_{1}\right)-P\left(E_{2}\right)-P\left(E_{1} \cap E_{2}\right) B. P(E1)+P(E2)2P(E1E2)P\left(E_{1}\right)+P\left(E_{2}\right)-2 P\left(E_{1} \cap E_{2}\right) C. P(E1)+P(E2)P(E1E2)P\left(E_{1}\right)+P\left(E_{2}\right)-P\left(E_{1} \cap E_{2}\right) D. P(E1)+P(E2)+P(E1E2)P\left(E_{1}\right)+P\left(E_{2}\right)+P\left(E_{1} \cap E_{2}\right)

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Problem 6233

Quiz Active θ\theta a 0 i 5 6 7 8 9 10
Lisa created the table below to show how different students get to school. \begin{tabular}{|c|c|c|c|} \hline \multicolumn{4}{|c|}{ How Students Get to School } \\ \hline & Bus & Bike & Total \\ \hline 7th 7^{\text {th }} Grade & 79 & & 128 \\ \hline 8th 8^{\text {th }} Grade & 83 & & 112 \\ \hline Total & 162 & & \\ \hline \hline \end{tabular}
According to the table, how many students in the seventh grade bike to school? 29 49 78 83

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Problem 6234

Let A,BA, B be two independent events of a sample space, where P(A)=0.4P(A)=0.4, P(Bˉ)=0.6P(\bar{B})=0.6. Then P(AˉB)=P(\bar{A} \cup B)= 0.8 0.2 0.76 0.18 None of these

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Problem 6235

Le diagramme ci-contre donne la répartition des 35 membres d'un club de tennis âgés au plus de 18 ans en fonction de leur âge. La barre du nombre d'adhérents de 17 ans a été effacée.
1. Combien d'adhérents ont 17 ans ?
2. Calculer la fréquence, sous forme décimale arrondie au centième, des adhérents qui ont 16 ans.

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Problem 6236

Give the relevant proportion using correct notation. A survey conducted of 1060 randomly selected US teens aged 13 to 17 found that 605 of them say they have made a new friend online. 1{ }^{1} 1{ }^{1} Lenhart A, "Teens, Technology, and Friendships", Pew Research Center, pewresearch.org, August 6, 2015. :=:= \square \square \square : : < : μ\mu μ1\mu_{1} μ2\mu_{2} : pp : p1p_{1} p2p_{2} 0.57 : ρ\rho xˉ\bar{x} \square xˉ2\bar{x}_{2} p^\hat{p} p^1\hat{p}_{1} p^2\hat{p}_{2} : rr

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Problem 6237

The average American gets a haircut every 37 days. Is the average smaller for college students? The data below shows the results of a survey of 13 college students asking them how many days elapse between haircuts. Assume that the distribution of the population is normal. 42,30,26,24,26,40,42,29,23,27,24,29,3242,30,26,24,26,40,42,29,23,27,24,29,32
What can be concluded at the the α=0.01\alpha=0.01 level of significance level of significance? a. For this study, we should use t-test for a population mean 0 b. The null and alternative hypotheses would be: H0H_{0} : μ0\mu 0 E \square \square 060^{6} 060^{6}
0 060^{6} c. The test statistic \square t2)2=\left.t^{2}\right)^{2}= (please show your answer to 3 decimal places.) \square d. The p -value == \square (Please show your answer

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Problem 6238

Problem Statement: Cumulative Sum for Multiple Queries Problem Description: You are given an array of integers arr[] of size nn. You need to answer multiple range sum queries. For each query, you will be asked to return the sum of elements in the subarray from index I to index rr (both inclusive). You need to process these queries efficiently.
Input: - An array arr[] of integers with size nn. - An integer qq representing the number of queries. - For each query, you are given two integers / and rr, where you need to return the sum of elements in the subarray arr[l...r].
Output: - For each query, print the sum of elements from index I to r (inclusive).
Example Test Cases: Example 1: Input: arr =[1,2,3,4,5]=[1,2,3,4,5] Number of Queries: 3 02 14 04 Output: 6 14 15

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Problem 6239

An oil firm has a 10%10\% success rate. Find the probability of hitting oil on the first well and missing the second, and at least one hit in two wells.

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Problem 6240

In 2004, 48% of Florida households had no hurricane escape plan. For 50 sampled households in Gainesville, find the prob. of 29+ with plans using binomial distribution. Is the normal approximation accurate?

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Problem 6241

Let (Y1,Y2)(Y_1, Y_2) have joint density fY1,Y2(y1,y2)f_{Y_1, Y_2}(y_1, y_2). Define U1=Y1+Y2U_1 = Y_1 + Y_2, U2=Y2U_2 = Y_2.
a) Show fU1,U2(u1,u2)=fY1,Y2(u1u2,u2)f_{U_1, U_2}(u_1, u_2) = f_{Y_1, Y_2}(u_1 - u_2, u_2).
b) Find fU1(u1)=fY1,Y2(u1u2,u2)du2f_{U_1}(u_1) = \int_{-\infty}^{\infty} f_{Y_1, Y_2}(u_1 - u_2, u_2) du_2.
c) If Y1Y_1 and Y2Y_2 are independent, show fU1(u1)=fY1(u1u2)fY2(u2)du2f_{U_1}(u_1) = \int_{-\infty}^{\infty} f_{Y_1}(u_1 - u_2) f_{Y_2}(u_2) du_2.

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Problem 6242

Given data: 6,3,8,6,4,136, 3, 8, 6, 4, 13. Find mean, median, mode, range, variance, std. dev., Z scores, and describe shape.

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Problem 6243

Given data: n=6n=6, values: 6, 3, 8, 6, 4, 13.
a. Find mean, median, mode. b. Find range, variance, standard deviation, coefficient of variation. c. Compute Z scores and identify outliers. d. Describe data shape. S<=12.666S^{<}=12.666, S=3.559S=3.559, CV=\mathrm{CV}=\square.

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Problem 6244

Given data: 6, 3, 8, 6, 4, 13. Find mean, median, mode, range, variance, standard deviation, Z scores, and CV. Are there outliers?

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Problem 6245

A 28.4 g28.4 \mathrm{~g} aluminum sample at 39.4C39.4{ }^{\circ} \mathrm{C} heats 50.0 g50.0 \mathrm{~g} of water from 21.00C21.00^{\circ} \mathrm{C} to 23.00C23.00^{\circ} \mathrm{C}. Find aluminum's specific heat.

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Problem 6246

Given data: 6, 3, 8, 6, 4, 13 (n=6). Find mean, median, mode, range, variance, std. dev., Z scores, and data shape.

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Problem 6247

Given data: 6, 3, 8, 6, 4, 13. Find mean, median, mode, range, variance, standard deviation, Z scores, and describe shape.

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Problem 6248

Identify the function type (linear, exponential, quadratic, power, logarithmic) for these data sets:
1) (4,2),(8,6),(12,18),(16,54)(4,2), (8,6), (12,18), (16,54) 2) (10,8),(20,11),(30,13),(40,14)(10,8), (20,11), (30,13), (40,14) 3) (2,12),(6,18),(12,21),(18,27)(2,12), (6,18), (12,21), (18,27)

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Problem 6249

The box plots show the grades in Calculus from 2 cities.
Final Grades AP Caclulus 2011-2021
Edmonton a. Which city had a larger Interquartile Range (IQR)? b. What was the maximum score Edmonton? c. What was the maximum scor Calgary? d. 50%50 \% of scores for both cities under the number... e. 25%25 \% of scores for both citie under the number...

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Problem 6250

PRACTICE QUESTION 11 A 2.4 g sample of carbon is burnt in a calorimeter. Given that ΔHf\Delta \mathrm{H}^{\circ} \mathrm{f} for CO2\mathrm{CO}_{2} is 394 kJ mol1-394 \mathrm{~kJ} \mathrm{~mol}^{-1} and the heat capacity of the calorimeter is 10 kJC110 \mathrm{~kJ}^{\circ} \mathrm{C}^{-1}, calculate the temperature change of the calorimeter.
Answer

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Problem 6251

An that both A and B will occur is 0.1 .
8. The conditional probability of A , given B (a) is 1/21 / 2.
8. The conditional probability of A , given B (a) is 1/21 / 2. 2050z1950=19/175\frac{20}{50} \cdot \frac{z^{19}}{50}=19 / 175 2050\frac{20}{50} 50 =0=0 ur is ility 0.5 . An event BB will occur with probability 0.6 . The probability P(A)=.5P(B)=.6P(A)=.5 \quad P(B)=.6 (b) is 3/103 / 10. (c) is 1/51 / 5. P(PnA)=P\left(P_{n} A\right)= (d) is 1/61 / 6. (1) cannot be determined from the information given. P(A,B)=P(A, B)=

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Problem 6252

```latex Analia is a school district manager. Here are some details about two schools in her district for the last school year:
\begin{tabular}{lcc} & School A & School B \\ \hline Number of students & 3000 & 4000 \\ \hline Number of teachers & 190 & 380 \\ \hline Graduation rate & 86%86 \% & 90%90 \% \\ Budget per student & \10,500 & \$10,000 \\ \hline \% of students in sports club & 62 \% & 68 \%$ \\ \hline Number of sports medals won & 9 & 7 \\ \hline SAT average & 1200 & 1050 \\ \hline SAT range (max-min) & 900 & 700 \\ \hline \end{tabular}
Analia wants to know which school has higher athletic achievements relative to the SAT average.
1) Analia thought of two different ways to define this quantity. Identify these two definitions among the following options:
A) Graduation rate
B) Graduation rate divided by SAT average
C) Number of sports medals won
D) Number of sports medals won divided by SAT average
2) Determine which school has higher athletic achievements relative to the SAT average, according to the two definitions. Did you get the same result for both definitions?
Choose 1 answer: (A) Yes. According to both definitions, School A has higher athletic achievements relative to the SAT average. (B) Yes. According to both definitions, School B has higher athletic achievements relative to the SAT average. (C) No. The definitions have opposite results. ```

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Problem 6253

For berylium chloride, 0.076 moles of silver nitrate are used. For magnesium chloride, 0.064 moles of silver nitrate are used. For calcium chloride, 0.055 moles of silver nitrate are used.
How many moles of AgNO3\mathrm{AgNO}_{3} should we use to be sure that we have excess, no matter which of the three compounds it is? a) 0.100 mol b) 0.075 mol c) 0.025 mol d) 0.050 mol

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Problem 6254

Marc left his house to drive to work. As he heads down his street, his speed increases steadily until he sees the stop sign at the end of the street. Then his speed decreases steadily until he comes to a complete stop at the stop sign. After waiting at the stop sign for his turn to go, Marc's speed steadily increases until he reaches the speed limit. Marc then drives at this constant speed until he approaches his office. He slows down steadily and comes to a complete stop in front of his office.
Which graph represents Marc's drive to work?
Marc's Drive to Work Δy\Delta y
Marc's Drive to Work

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Problem 6255

На рынке подсластителей торгуются сироп топинамбура и стевия. Какое значение может принимать перекрёстная эластичность спроса на сироп топинамбура по цене стевии, е? Выберите ВСЕ верные ответы. (Частично правильный вариант не засчитывается!) a. e<0\mathrm{e}<0 b. e>1e>1 c. e=0\mathrm{e}=0 d. 0<e<10<e<1

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Problem 6256

Что вероятнее всего произойдет в экономике в долгосрочном периоде после перманентного повышения доли государственных расходов на потребление в ВВП?
Выберите один ответ: a. рост профицита госбюджета b. снижение уровня безработицы c. увеличение объема выпуска d. повышение темпа инфляции

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Problem 6257

Someone has plotted this scatter graph and you are marking their work.
Write down all of the things on the list that would improve their graph.
List of possible improvements Draw lines between the points Add units to the axis labels Make the horizontal axis go up to 40 Make the vertical axis go up to 400 Make all the points different colours

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Problem 6258

Show how you arrived at your solution on the answer sheet for full credit. Write neatly and be organized. 8
PROBCEM 6 Weatherwise is a magazine published by the American Meteorological Society. One issue gives a rating system used lo classify Nor'easter storms that frequently hit New England and can cause much damage near the ocean. A severe storm has an average peak wave height of μ=16.4\mu=16.4 feet for waves hitting the shore. Suppose that a Nor'easter is in progress at the severe storm class rating. Peak wave heights are usually measured from land (using binoculars) off fixed cement piers. Suppose that a reading of 36 waves showed an average wave height of xˉ=17.3\bar{x}=17.3 feets. Previous studies of severe storms indicate that σ=3.5\sigma=3.5 feet. Does this information suggest that the storm is (perhaps temporarily) increasing above the severe rating?
Use the 0.01 level of significance and the P\mathbf{P} - Value method a.) Hypotheses (5 points): H0μ=16.4 feet Haμ>16.4 feet \begin{array}{l} H_{0} \cdot \mu=16.4 \text { feet } \\ H_{a} \cdot \mu>16.4 \text { feet } \end{array}
Levelot S Sandicance: α=0.01\alpha=0.01 Sample sie n=36n=36 z=0.93.5/6=0.90.58331.51nz=\frac{0.9}{3.5 / 6}=\frac{0.9}{0.5833} \approx 1.51 \sqrt{n} P(z>1.54)0.0618P(z>1.54) \approx 0.0618 d.) Decision ( 5 points):
Since the PP-value 0.0618 is greater than the sio level a=0.01a=0.01, we fail to reject the null hypo e.) Conclusion (5 points)

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Problem 6259

In a standard deck of cards, what is the probability that you will get a 2 or a face card? Provide four decimal digits.
Add your answer Integer, decimal, or E notation allowed \qquad 2 Poin
Question 7
Two fair dice are thrown. What is the probability that the sum shown on the dice is divisible by 5? Provide four decimal digits.
Add your answer Integer, decimal, or Enotation allowed

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Problem 6260

In a standard deck of cards, what is the probability that you will get a 5 or a 10 card? Provide four decimal digits.

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Problem 6261

Time left 0:18:23
Suppose that the arrival time for all processes is 0 \begin{tabular}{|l|l|l|l|l|} \hline P1 & P2 & P1 & P3 & P1 \\ \hline \multicolumn{2}{|c|}{8} & 18 & 23 & 30 \\ \hline \end{tabular}
What is the turnaround time for P2 a. 8 b. 18 c. 23

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Problem 6262

If a random variable X is normally distributed with mean 35 and variance 4, then P(X<39)P(X<39) is equal to a. 0.8413 b. 0.9982 c. 0.9332 d. 0.9772

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Problem 6263

Question J\mathbf{J} Not yet answered Marked out of 1.00
The 90th90^{t h} percentile of the standard normal distribution is a. 2.05 b. 1.645 C. 1.96 d. 1.28

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Problem 6264

Question: Poisson Distribution
Let X1,X2,,XnX_{1}, X_{2}, \ldots, X_{n} be independent and identically distributed (i.i.d.) random variables, where each XiX_{i} follows a Poisson distribution with parameter λ>0\lambda>0. The probability mass function (PMF) for a Poisson random variable is given by:
Likelihood Estimation fo fX(x;λ)=λxeλx!,x=0,1,2,f_{X}(x ; \lambda)=\frac{\lambda^{x} e^{-\lambda}}{x!}, \quad x=0,1,2, \ldots where λ\lambda is the rate parameter of the Poisson distribution. (a) Write the likelihood function L(λ)L(\lambda) for the sample X1,X2,,XnX_{1}, X_{2}, \ldots, X_{n}. (b) Derive the log-likelihood function (λ)=lnL(λ)\ell(\lambda)=\ln L(\lambda). (c) Find the Maximum Likelihood Estimator (MLE) for λ\lambda by solving e(λ)λ=\frac{\partial e(\lambda)}{\partial \lambda}= 0 . (d) Verify that the second derivative of the log-likelihood function at the MLE is negative, confirming that the MLE is indeed a maximum. (e) Find the Fisher information for λ,I(λ)=E[2(λ)λ2]\lambda, I(\lambda)=-E\left[\frac{\partial^{2} \ell(\lambda)}{\partial \lambda^{2}}\right]. (f) Using the MLE and Fisher information, calculate the Cramer-Rao lower bound for the variance of the MLE.

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