Solution Found!
(a) construct a discrete probability
Chapter 11, Problem 22AYU(choose chapter or problem)
Problem 22AYU
(a) construct a discrete probability distribution for the random variable X [Hint: ], (b) draw the probability histogram, (c) compute and interpret the mean of the random variable X, and (d) compute the standard deviation of the random variable X.
Ideal Number of Children What is the ideal number of children to have in a family? The following data represent the ideal number of children for a random sample of 900 adult Americans.
x(number of children) |
Frequency |
0 |
10 |
1 |
30 |
2 |
520 |
3 |
250 |
4 |
70 |
5 |
17 |
6 |
3 |
Questions & Answers
QUESTION:
Problem 22AYU
(a) construct a discrete probability distribution for the random variable X [Hint: ], (b) draw the probability histogram, (c) compute and interpret the mean of the random variable X, and (d) compute the standard deviation of the random variable X.
Ideal Number of Children What is the ideal number of children to have in a family? The following data represent the ideal number of children for a random sample of 900 adult Americans.
x(number of children) |
Frequency |
0 |
10 |
1 |
30 |
2 |
520 |
3 |
250 |
4 |
70 |
5 |
17 |
6 |
3 |
ANSWER:
Answer :
Step 1
Approach : to construct the discrete probability distribution by using relative frequency.
That means =
The discrete probability distribution is calculated by using the following table.
x(number of children) |
Frequency ( |
|
0 |
10 |
0.011111 |
1 |
30 |
0.033333 |
2 |
520 |
0.577778 |
3 |
250 |
0.277778 |
4 |
70 |
0.077778 |
5 |
17 |
0.018889 |
6 |
3 |
0.003333 |
Sum |
900 |