Chapter 9.7, Problem 40E

To determine

Find the probability that the employee, whose paycheck is lost, belongs to the Research department.

Answer to Problem 40E

The probability that employee whose paycheck is lost, belongs to the research department is $\frac{3}{14}$

Explanation of Solution

Given:

Total number of employees in the Research department is 54

Total number of employees in the Company is 252

Let's tabulate the data of the employees of the company

Department	Number
Sales	31
Research	54
Marketing	42
Engineering	20
Finance	47
Production	58
Total	252

Total number of employees in the Research department is 54

Total number of employees in the Company is 252

Let E represent the event that the employee whose paycheck is lost, belongs to the research department. Then

  $p(E)=\frac{54}{252}\text{Or}$

  $p(E)=\frac{3}{14}$

Thus, the probability that employee whose paycheck is lost, belongs to the research department is $\frac{3}{14}$