QuestionA tech company has 150 new employees in groups A, B, C, D, and E with 30 each. Find $P(C)=$ , the probability of selecting someone 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 random.

STEP 2

First, we need to identify the total number of new employees, which is also known as the sample space in probability. In this case, the sample space is the total number of new employees.
$Sample\, Space = Total\, number\, of\, new\, employees$

STEP 3

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

STEP 4

Next, we need to identify the number of new employees in each event. An event in this context is the assignment of a new employee to an orientation group. Since each orientation group is assigned30 new employees, the number of new employees in each event is30.
$Number\, of\, new\, employees\, in\, each\, event =30$

STEP 5

Now, we need to calculate the probability that a randomly chosen new employee has been assigned to orientation group C. The probability of an event is calculated by dividing the number of favorable outcomes by the total number of outcomes in the sample space.
$(C) = \frac{Number\, of\, new\, employees\, in\, group\, C}{Total\, number\, of\, new\, employees}$

STEP 6

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 7

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

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QuestionA tech company has 150 new employees in groups A, B, C, D, and E with 30 each. Find $P(C)=$ , the probability of selecting someone 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 random.

STEP 2

First, we need to identify the total number of new employees, which is also known as the sample space in probability. In this case, the sample space is the total number of new employees.
$Sample\, Space = Total\, number\, of\, new\, employees$

STEP 3

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

STEP 4

STEP 5

STEP 6

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 7

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

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QuestionA tech company has 150 new employees in groups A, B, C, D, and E with 30 each. Find P(C)=P(C)=P(C)=, the probability of selecting someone 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 random.

STEP 2

STEP 3

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

STEP 4

STEP 5

STEP 6

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)=30150(C) = \frac{30}{150}(C)=15030​

STEP 7

Calculate the probability.(C)=30150=0.2(C) = \frac{30}{150} =0.2(C)=15030​=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.

Get Studdy

Studdy solves anything!

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

QuestionA tech company has 150 new employees in groups A, B, C, D, and E with 30 each. Find $P(C)=$ , the probability of selecting someone from group C.

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 random.

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

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

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