To find: The average size of the family is and assumes that girls and boys are equally likely.
Explanation of Solution
It is required to find the average size of a family and it can use the following steps to simulate it:
Step 1
The component is the individual child.
Step 2
It is required to produce random digits from 0 to 9 for simulation. Let 0-4 represent a boy and 5-9 represent a female, and once a child of each gender is simulated, the trial consists of generating random digits.
Step 3
The responsible variable is the number of children simulated on girls and up to one kid.
Step 4
At least 10 trials need to be run in the simulation process and each trial consists of generating random digits before a child of each gender is simulated. By using random number generators, it produces random numbers using the steps below:
1) As per our needs, add random numbers.
2) Depends on random digits between 0 and 9
3) Press the Submit key.
Trial Number | Component Outcomes | Trial Outcomes |
1 | 92 | 2 |
2 | 145 | 3 |
3 | 84 | 2 |
4 | 478 | 3 |
5 | 7451245 | 7 |
6 | 71 | 2 |
7 | 4574 | 4 |
8 | 684 | 3 |
9 | 14 | 2 |
10 | 65 | 2 |
Total | 30 |
Let a boy get 0-4 random digits and a girl get 5-9 random digits. The first random digit 9, for instance, means female, and the second random digit 2 is for a kid, giving the total number of results for trial number 1 is 2 and so on up to 10 trial numbers.
Step 5
It is required to find the average family size simulated by:
The average size of the family is 3.
Step 6
Based on the simulation, it can conclude that the expected number children in average size of the family are 3.
The average family size is 3.
Step 6
On the basis of the simulation, it can infer that 3 is the predicted number of children in the family's average size.
Chapter 11 Solutions
Stats: Modeling the World Nasta Edition Grades 9-12
Additional Math Textbook Solutions
Statistics for Psychology
Elementary Statistics (13th Edition)
Statistics: The Art and Science of Learning from Data (4th Edition)
Elementary Statistics: Picturing the World (7th Edition)
Essentials of Statistics, Books a la Carte Edition (5th Edition)
Essentials of Statistics (6th Edition)
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