It is estimated that 25% of households own a riding lawn mower. A sample of 16 households is studied. What is the probability that exactly 5 of these own a riding lawn
Mower?
A) 0.8198
B) 0.0002
C) 0.9998
D) 0.1802

Question

Quizplus · Accepted Answer

This is a binomial probability problem where n = 16 (number of trials), k = 5 (number of successes), and p = 0.25 (probability of success on a single trial). The binomial probability formula is P(X = k) = (nCk) * p^k * (1-p)^(n-k), where nCk is the combination of n items taken k at a time. Plugging in the values: P(X = 5) = (16C5) * (0.25)^5 * (0.75)^11, which calculates to approximately 0.1802.

It Is Estimated That 25% of Households Own a Riding