QuestionA tech company has 150 new employees split into 5 groups of 30 each. Find the total employees, group size, and $P(C)$ .

Studdy Solution

STEP 1

Assumptions1. The total number of new employees is150. . Each orientation group (A, B, C, D, and) has30 new employees.
3. The selection of a new employee is completely random.

STEP 2

First, we identify the sample space. The sample space in this case is the total number of new employees.
$Sample\, space = Total\, number\, of\, new\, employees$

STEP 3

Plug in the given value for the total number of new employees to calculate the sample space.
$Sample\, space =150$

STEP 4

Next, we identify the number of new employees in each event. An event in this case is the selection of a new employee from a specific orientation group.
$Number\, of\, new\, employees\, in\, each\, event = Number\, of\, new\, employees\, in\, each\, orientation\, group$

STEP 5

Plug in the given value for the number of new employees in each orientation group to calculate the number of new employees in each event.
$Number\, of\, new\, employees\, in\, each\, event =30$

STEP 6

Finally, we calculate the probability of choosing a new employee from orientation group C. The probability of an event is calculated as the ratio of the number of favorable outcomes to the total number of outcomes in the sample space.
$(C) = \frac{Number\, of\, new\, employees\, in\, group\, C}{Total\, number\, of\, new\, employees}$

STEP 7

Plug in the values for the number of new employees in group C and the total number of new employees to calculate the probability.
$(C) = \frac{30}{150}$

STEP 8

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

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