3. The phrase, household penetration, describes the percentage of households that purchase a particular item. The household penetration for toilet paper is 97%. You survey a random sample of 50 households and want to compute the probability that at least one of the households does not purchase toilet paper. Which of the following is appropriate for modeling this distribution?

(A) Binomial distribution

(B) Geometric distribution

(C) Normal distribution

(D) t distribution

(E) Chi-square distribution

Question

Advanced Placement (AP)

Darrell Graham

10 December, 00:16

3. The phrase, household penetration, describes the percentage of households that purchase a particular item. The household penetration for toilet paper is 97%. You survey a random sample of 50 households and want to compute the probability that at least one of the households does not purchase toilet paper. Which of the following is appropriate for modeling this distribution?

(A) Binomial distribution

(B) Geometric distribution

(C) Normal distribution

(D) t distribution

(E) Chi-square distribution

+2

Answers (1)

Know the Answer?

Devan Cowan · Answer 1

A) Binomial Distribution

Explanation:

This situation is binary because there are two options. Either success (buy toilet paper) or failure (do not buy toilet paper). The trials are independent, there are a fixed number of trials, and the probability of success remains the same for each trial. Therefore, it is a binomial distribution.