Question

a store owner reports that the probability that a customer who purchases a lawn mower will also purchase an extended warranty is 0.68. which of the following is the best interpretation of the probability 0.68? a for all customers who purchase a lawn mower, 68% will also purchase an extended warranty. b for all customers of the store, 68% will purchase a lawn mower. c for all customers who purchase an extended warranty, 68% will use the warranty. d from the next 25 customers, 17 will purchase an extended warranty. e from the next 25 customers, 17 will purchase a lawn mower.

Explanation:

The probability 0.68 is a conditional probability. The condition is "a customer who purchases a lawn mower". Probability 0.68 means the proportion of customers who meet the condition (buy lawn - mower) and also buy an extended warranty.

• Option B: The probability is not about all customers of the store, but about customers who purchase a lawn - mower. So B is wrong.
• Option C: The condition is wrong. The condition should be customers who purchase a lawn - mower, not those who purchase an extended warranty. So C is wrong.
• Option D: Probability is a long - term proportion. We cannot be sure that from the next 25 customers, 17 will purchase an extended warranty. It is a prediction based on probability, not a certainty. So D is wrong.
• Option E: The description is about the wrong product. The probability is about purchasing an extended warranty given a lawn - mower purchase. So E is wrong.
• Option A: Correctly interprets the conditional probability as 68% of customers who purchase a lawn mower will also purchase an extended warranty.

Answer:

A. For all customers who purchase a lawn mower, 68% will also purchase an extended warranty.