In a certain community, 16% of the families own a dog, and 25%of the families th

Question

In a certain community, 16% of the families own a dog, and 25%of the families that own a dog also own a cat. It is also know that28% of all the families own a cat. 1. What is the probability that a randomly selectedfamily owns a cat? 2 What is the conditional probability that a randomly selectedfamily owns a dog given that it owns a cat? In a certain community, 16% of the families own a dog, and 25%of the families that own a dog also own a cat. It is also know that28% of all the families own a cat. 1. What is the probability that a randomly selectedfamily owns a cat? 2 What is the conditional probability that a randomly selectedfamily owns a dog given that it owns a cat?

Explanation / Answer

We are given P(c)=.28 P(c/d)=.25 P(d)=.16 a)P(c)=.28 b)P(d/c)=P(c/d)P(d)/P(c) =(.25)(.16)/.28=.143

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