It is estimated that 30% of households own a riding lawn mower. A sample of 18 households is studied. What is the probability that no more than 3 of these own a riding lawn mower?
A) 0.94
B) 0.1646
C) 0.8354
D) 0.0600

Question

Quizplus · Accepted Answer

This is a binomial probability problem with parameters n = 18 and p = 0.30. We want to find the probability that no more than 3 households own a riding lawn mower, so we can use the cumulative probability function of the binomial distribution:

P(X ≤ 3) = Σ P(X = i), i from 0 to 3

Using a calculator or software, we can find that:

P(X ≤ 3) = 0.1646

Therefore, the best choice is B.

It Is Estimated That 30% of Households Own a Riding