Suppose that 53% of families living in a certain country own a minivan and 24% o

ID: 3019975 • Letter: S

Question

Suppose that 53% of families living in a certain country own

a minivan and 24% own

a SUV. The addition rule mightsuggest, then, that 77% of families own either

a minivan or a SUV. What's wrong with that reasoning?

Choose the correct answer below.

A. If one family owns

a minivan or

a SUV, it can influence another family to also own

a minivan or

a SUV. The events are not independent, so the addition rule does not apply.

B.The sum of the probabilities of the two given events does not equal 1, so this is not a legitimate probability assignment.

C. A family may own both

a minivan and

a SUV. The events are not disjoint, so the addition rule does not apply.

D. The reasoning is correct. Thus, 77% a minivan or a SUV.

In the probalem statement it is not given that the events family own a mininvan and family own a SUV are disjoint. So we cannot assume that

P(minivan and SUV) =0

And with this we cannot assume that

P(minivan or SUV) = P(minivan) + P(SUV)

So option C is correct.

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.