Chapter 11, Problem 40E

To determine

To Explain: If the real rate of usage is 12 percent, use a simulation to estimate the probability of seeing at least 4 out of 10 randomly selected drivers talking on their mobile phones and describe the inference.

Explanation of Solution

There have mobile phone data and it can simulate it by using the following steps:

Step 1

The portion is for each person employed.

Step 2

There is required to produce the random digits 00-99 for simulation. Let 01-12 indicate that the driver takes his or her cell phones, and 13-99 and 00 indicate that the driver does not take his or her cell phones.

Step 3

The trial consists of 10 digital pairs.

Step 4

The response variable is whether at least 4 drivers have talked on their mobile phones or not.

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	Minimum 4 cell phones
1	71, 18, 90, 19, 12, 93, 77, 36, 66, 21	No
2	12, 85, 60, 24, 67, 10, 12, 18, 00, 07	Yes
3	39, 53, 54, 76, 08, 57, 68, 78, 12, 65	No
4	11, 51, 45, 38, 64, 12, 84, 51, 11, 21	No
5	32, 67, 10, 14, 41, 11, 90, 29, 88, 45	No
6	46, 31, 11, 01, 12, 50, 92, 10, 62, 82	Yes
7	51, 34, 61, 11, 14, 26, 86, 46, 08, 55	No
8	09, 12, 12, 44, 00, 10, 67, 25, 38, 45	Yes
9	12, 96, 61, 22, 32, 07, 04, 99, 12, 91	Yes
10	75, 71, 16, 11, 18, 97, 81, 49, 95, 06	No
Total		4

Step 6

There is required to find that the percentage of drivers taking their mobile phones is simulated:

  $\begin{array}{c}Cellphones=\frac{totalnumberofsuccess}{totalnumberoftrials}\times 100\\ =\frac{4}{10}\times 100\\ =40\%\end{array}$

The number of drivers using their mobile phones is 40 percent.

Step 7

Based on the simulation, we can infer that 40 percent of drivers take their mobile phones, so the report of the legislator is possibly very poor at 12 percent.