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Solution: Constructing and Graphing Binomial Distributions
Chapter 4, Problem 25E(choose chapter or problem)
Problem 25E
Constructing and Graphing Binomial Distributions In Exercise, (a) construct a binomial distribution, (b) graph the binomial distribution using a histogram and describe its shape, and (c) identify any values of the random variable x that you would consider unusual. Explain your reasoning.
Work Performance Forty-six percent of working mothers say that their work performance is the same as it was before giving birth. You randomly select eight working mothers and ask them how their work performance has changed since giving birth. The random variable represents the number of working mothers who say that their work performance is the same as it was before giving birth.
Questions & Answers
QUESTION:
Problem 25E
Constructing and Graphing Binomial Distributions In Exercise, (a) construct a binomial distribution, (b) graph the binomial distribution using a histogram and describe its shape, and (c) identify any values of the random variable x that you would consider unusual. Explain your reasoning.
Work Performance Forty-six percent of working mothers say that their work performance is the same as it was before giving birth. You randomly select eight working mothers and ask them how their work performance has changed since giving birth. The random variable represents the number of working mothers who say that their work performance is the same as it was before giving birth.
ANSWER:
Answer
Step 1 of 3
(a)
We are asked to construct a binomial distribution.
We have given of working mothers say that their work performance is the same as it was before giving birth.
Let represents the working mothers and their work performance since giving birth.
A binomial distribution represented by the following formula,
Where
(x) |
P(X=x) |
0 |
0.00723 |
1 |
0.049272 |
2 |
0.146905 |
3 |
0.250282 |
4 |
0.266504 |
5 |
0.181618 |
6 |
0.077356 |
7 |
0.018827 |
8 |
0.002005 |