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Solution: Finding Binomial Probabilities In Exercise, find
Chapter 4, Problem 19E(choose chapter or problem)
Problem 19E
Finding Binomial Probabilities In Exercise, find the indicated probabilities. If convenient, use technology or Table 2 in Appendix B to find the probabilities.
Clothes Shopping Fifty-six percent of men do not look forward to going clothes shopping for themselves. You randomly select eight men. Find the probability that the number of men who do not look forward to going clothes shopping for themselves is (a) exactly five, (b) more than five, and (c) at most five.
Questions & Answers
QUESTION:
Problem 19E
Finding Binomial Probabilities In Exercise, find the indicated probabilities. If convenient, use technology or Table 2 in Appendix B to find the probabilities.
Clothes Shopping Fifty-six percent of men do not look forward to going clothes shopping for themselves. You randomly select eight men. Find the probability that the number of men who do not look forward to going clothes shopping for themselves is (a) exactly five, (b) more than five, and (c) at most five.
ANSWER:
Solution 19E
Step1 of 4:
From the given problem we have an experiment, In that 56% of men do not look forward to going clothes shopping for themselves. Also, we have n = 8.
Here our goal is:
a). We need to find the probability of getting exactly five men do not look forward to going clothes shopping for themselves.
b). We need to find the probability of getting more than five men do not look forward to going clothes shopping for themselves.
c). We need to find the probability of getting at most five men do not look forward to going clothes shopping for themselves.
Step2 of 4:
a).
Let us consider a random variable ‘x’ it presents the number of five men do not look forward to going clothes shopping for themselves. Let us assume that ‘x’ follows the Binomial distribution with parameters ‘n and p’. That is:
And we know that the probability mass function of the Binomial distribution is:
Then, The probability of getting exactly five men do not look forward to going clothes shopping for themselves is: