Chapter PIII, Problem 42RE

To determine

To Explain: the conclusion with the simulation on the basis of given information.

Explanation of Solution

There is need to simulate profiling and, using the following phase, it can simulate:

In this simulation, the part is the portion of the passenger to be scanned.

There is need to produce the random digits 01-20 for simulation. Let the Middle East businessman reflect 01 to 04 and let other passengers’ number 5 to 20.

The run consists of choosing 2 passengers to check for. There have to simulate the generation of 2 pairs of repeats ignored by random digits.

Whether or not both passengers selected are Middle Eastern businessmen is the response variable. If both produced pairs are successful from 01 to 04, failure is otherwise reported.

There is need to run at least 10 trials in the simulation process and each trial consists of generating random digits until two boys and two girls are generated. By using random number generators, it produces random numbers using the following steps:

1. 1) As per our needs, add random numbers.
2. 2) Depends on a random digit between 01 and 20
3. 3) Press the submit button.

Trial Number	Component Outcomes	Trial Outcomes
1	17 25	Failure
2	09 19	Failure
3	03 01	Success
4	28 20 11	Failure
5	07 14	Failure
6	16 13	Failure
7	13 03	Failure
8	18 07	Failure
9	08 09	Failure
10	19 05	Failure
Total		1

Let 01 to 04 reflect the Middle East businessman and the other passengers from numbers 5 to 20. For eg, for other passengers, the first random digit is 13 and the second random digit for other passengers is up to 10 trial numbers.

There is need to find the chances of both chosen passengers becoming Middle Eastern

businessmen:

  $\begin{array}{c}\text{Percentage of Middle Eastbusin essman =}\frac{\text{total numbers of succes}}{\text{total number of run}}\times 100\\ =\frac{1}{10}\times 100\\ =10\%\end{array}$

it can assume that the chance is 10 percent, which is exceedingly small, but it cannot guarantee that businessmen from the Middle East were not profiled, but there is no proof that they were.