Chapter 11, Problem 39E

To determine

To Explain: A random selection of three individuals from the applicant pool for the simulation and a decision on the probability that a fair process would result in all women being hired.

Explanation of Solution

There is required to work discrimination knowledge and it can simulate it by using the following steps:

Step 1

The component is presented to each driver.

Step 2

There is required to produce the random digits 00-99 for simulation. Let 01-10 represent each of the 10 females, 11-22 represent each of the 12 females, and let 23-99 and 00 be ignored.

Step 3

The trial consists of three available pairs of numbers and pairs of digits overlooked by repeats.

Step 4

Whether or not all three simulated female hires are the response variable.

Step 5

There is required to run the process of simulation with test numbers. By using random number generators, it produces random numbers using the following steps:

1) As per our needs, add random numbers.

2) Between 00 and 99, random digits are based on

3) Press the Submit key.

Trial Number	Component Outcomes	All three women
1	66, 02, 76, 47, 03	No
2	85, 34, 21, 46, 67, 49, 20	No
3	74, 96, 01, 23, 75, 93, 72, 15	No
4	23, 76, 01, 51, 90, 94, 87, 34	No
5	95, 74, 75, 07, 40, 83, 52, 52, 02	No
6	05, 00, 69, 05, 31	No
7	79, 48, 81, 21, 12, 90, 28	No
8	27, 37, 52, 09, 59, 10, 82, 01	Yes
9	00, 12, 95, 27, 72, 85, 33	No
10	03, 51, 95, 21, 95, 51, 87, 30	No
Total		1

Step 6

The percentage of all three women needs to be simulated:

  $\begin{array}{c}Allthreewomen=\frac{totalnumberofsuccess}{totalnumberoftrials}\times 100\\ =\frac{1}{13}\times 100\\ =7.70\%\end{array}$

Of all three women, the percentage is 7.70

Step 7

Based on the simulation, it can infer that 7.70 percent of time is for three individuals hired all will be chosen women. This suggests that the proof of work discrimination is odd, but not yet adequate.