Chapter 15, Problem 39E

To determine

To find: the percent of the not present employees are on the night shift.

Answer to Problem 39E

57.14%

Explanation of Solution

Given:

  $\begin{array}{c}P\left(D\right)=0.6\\ P\left(D\text{'}\right)=1-0.6\\ =0.4\\ P\left(A/D\right)=0.01\\ P\left(A/D\text{'}\right)=0.02\end{array}$

Calculation:

D = Employee works day shift

A = Employee is absent

  

  $\begin{array}{c}P\left(A/D\right)=0.01\\ P\left(A\right)=P\left(A\cap D\right)+P\left(A\cap D\text{'}\right)\\ =0.006+0.008\\ =0.014\end{array}$

  $P\left(nightshift/absent\right)=\frac{.008}{.014}=57.14\%$