Complete parts (a) and (b) using the probability distribution below.

The number of overtime hours worked in one week per employee

Overtime hours

0

1

2

3

4

5

6

Probability

0.025

0.056

0.168

0.294

0.223

0.147

0.087

(a) Find the mean, variance, and standard deviation of the probability distribution.

Find the mean of the probability distribution.mu =

(Round to one decimal place as needed.)

Find the variance of the probability distribution.

sigma squared=

(Round to one decimal place as needed.)

Find the standard deviation of the probability distribution.

sigma=

(Round to one decimal place as needed.)

(b) Interpret the results in the context of the real-life situation.

A.

An employee works an average of

2.0 overtime hours per week with a standard deviation of approximately

1.4hours.

B.

An employee works an average of 1.4 overtime hours per week with a standard deviation of approximately 3.4 hours.

C.

An employee works an average 3.4 of overtime hours per week with a standard deviation of approximately 5 hours.

D.

An employee works an average of 3.4 overtime hours per week with a standard deviation of approximately 1.4hours.

Click to select your answer(s).