Chapter 11, Problem 32E

To determine

To find: the number of children may expect to have.

Explanation of Solution

It is required to find the kids we expect and it can simulate them by using the following steps:

Step 1

The component is the individual child.

STEP2

It is required to produce the random digits of 04 for simulation. Let 0-4 represent a boy and 54 represent the child, and before two kids of each gender are simulated, the trial consists of generating random digits.

Step 3

The vector responsible is the number of children simulated before there are two boys and two girls.

Step 4

It is required 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) As per our needs, add random numbers.

2) Depending on random numbers, between 0 and 9

3) Press the Submit key.

Trial Number	Component Outcomes	Trial Outcomes
1	14239512	8
2	145	3
3	845214756	9
4	478	3
5	7451245	7
6	41257692	8
7	4574	4
8	1248239	7
9	21423854	8
10	65	2
Total		59

Let the two boys have 0-4 random digits and the two girls have 5-9 random digits. For instance, the first to third, five and six random digits 9,6.9,9 and 7 mean girls, and two boys are for a boy with the four and six random digits 3,1 and so on up to 10 trials and offer the total number of results for trial number 1 is 7 and so on up to 10 trial numbers.

 Step 5

It is required to find the average family size simulated by:

  $\begin{array}{c}Averagefamilysize=\frac{totalnumberofdigitgeneratedineachtrials}{totalnumberoftrails}\\ =\frac{59}{10}\\ =5.9\\ =6\end{array}$

The average family size is 6.

Phase 6 — Step 6

Simulation-based. The estimated number of children in the family is slightly less than 6, we may infer.