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In a recent study 90 percent of the homes in the United
Chapter 6, Problem 21E(choose chapter or problem)
In a recent study 90 percent of the homes in the United States were found to have large- screen TVs. In a sample of nine homes, what is the probability that:
a. All nine have large-screen TVs?
b. Less than five have large-screen TVs?
c. More than five have large-screen TVs?
d. At least seven homes have large-screen TVs?
Questions & Answers
QUESTION:
In a recent study 90 percent of the homes in the United States were found to have large- screen TVs. In a sample of nine homes, what is the probability that:
a. All nine have large-screen TVs?
b. Less than five have large-screen TVs?
c. More than five have large-screen TVs?
d. At least seven homes have large-screen TVs?
ANSWER:
Step 1 of 5
Let us consider a random variable ‘X’ to represent the number of homes in the United States that were found to have large- screen TV’s. Also, we have ‘n = 9 and ’.
Here our goal is:
a) We need to find the probability that all nine have large-screen TV’s.
b) We need to find the probability that less than five have large-screen TV’s.
c) We need to find the probability that more than five have large-screen TV’s.
d) We need to find the probability that at least seven homes have large-screen TV’s.