Math

Question150 new employees are divided into 5 groups (A, B, C, D, E) with 30 each. Find P(C)P(C), the probability of choosing from group C.

Studdy Solution

STEP 1

Assumptions1. The total number of new employees is150. . Each orientation group (A, B, C, D,) is assigned30 new employees.
3. The selection of an employee is completely random.

STEP 2

First, we need to identify the number of new employees in the sample space. The sample space is the total number of possible outcomes, which in this case is the total number of new employees.
Samplespace=TotalnumberofnewemployeesSample\, space = Total\, number\, of\, new\, employees

STEP 3

Now, plug in the given value for the total number of new employees to identify the sample space.
Samplespace=150Sample\, space =150

STEP 4

Next, we need to identify the number of new employees in each event. An event in this case is the selection of an employee from a specific orientation group. Since each group is assigned30 new employees, the number of new employees in each event is30.
Numberofnewemployeesineachevent=30Number\, of\, new\, employees\, in\, each\, event =30

STEP 5

Finally, we need to find the probability that a randomly chosen new employee has been assigned to orientation group C. The probability of an event is the number of ways that event can occur divided by the total number of outcomes.
(C)=NumberofnewemployeesingroupCTotalnumberofnewemployees(C) = \frac{Number\, of\, new\, employees\, in\, group\, C}{Total\, number\, of\, new\, employees}

STEP 6

Now, plug in the given values for the number of new employees in group C and the total number of new employees to calculate the probability.
(C)=30150(C) = \frac{30}{150}

STEP 7

Calculate the probability.
(C)=30150=0.2(C) = \frac{30}{150} =0.2So, there are150 new employees in the sample space,30 new employees in each event, and the probability that a randomly chosen new employee has been assigned to orientation group C is0.2.

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