Use the following information to answer the question. Suppose that a recent poll of American households about pet ownership found that for households with a pet, 39% owned exactly a dog, 33% owned a cat, and 7% owned a bird. Suppose that three households are selected randomly and with replacement.
-What is the probability that all three randomly selected households own a cat? (Round to the nearest hundredth)
A)0.03
B)0.04
C)0.06
D)None of these

Question

Quizplus · Accepted Answer

The probability that one household owns a cat is 0.33. Since the households are selected with replacement, the probability that all three households own a cat is (0.33)^3 = 0.035937, which rounds to 0.04.

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