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Overtime Analysis: Understanding Work Hour Probabilities
Chapter 4, Problem 22E(choose chapter or problem)
Use the probability distribution you made in Exercise 20 to find the probability of randomly selecting an employee whose overtime is (a) two or three hours, (b) three hours or less, and (c) between two and five hours, inclusive.
Exercise 20: Overtime Hours
The number of overtime hours worked in one week per employee
\(\begin{array}{|l|c|c|c|c|c|c|c|} \hline \text { Overtime hours } & 0 & 1 & 2 & 3 & 4 & 5 & 6 \\ \hline \text { Employees } & 6 & 12 & 29 & 57 & 42 & 30 & 16 \\ \hline \end{array}\)
Questions & Answers
QUESTION:
Use the probability distribution you made in Exercise 20 to find the probability of randomly selecting an employee whose overtime is (a) two or three hours, (b) three hours or less, and (c) between two and five hours, inclusive.
Exercise 20: Overtime Hours
The number of overtime hours worked in one week per employee
\(\begin{array}{|l|c|c|c|c|c|c|c|} \hline \text { Overtime hours } & 0 & 1 & 2 & 3 & 4 & 5 & 6 \\ \hline \text { Employees } & 6 & 12 & 29 & 57 & 42 & 30 & 16 \\ \hline \end{array}\)
ANSWER:Solution 22E
Step1 of 4:
From the given problem we have a data set and it is given below:
Overtime hours |
0 |
1 |
2 |
3 |
4 |
5 |
6 |
Employees |
6 |
12 |
29 |
57 |
42 |
30 |
16 |
Here our goal is:
a). We need to find the probability of two or three hours.
b). We need to find the probability of three hours or less.
c). We need to find the probability of between two and five hours.
Step2 of 4:
a).
Consider,
Overtime hours |
Employees |
Probability distribution P(X) |
0 |
6 |