In a certain community, 36 percent of the families own a dog and 22 percent of the families that own a dog also own a cat. In addition, 30 percent of the families own a cat. What is (a) the probability that a randomly selected family owns both a dog and a cat? (b) the conditional probability that a randomly selected family owns a dog given that it owns a cat?
Added by Victor B.
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Given: - Probability of owning a dog = 0.36 - Probability of owning a cat given that they own a dog = 0.22 Probability of owning both a dog and a cat = Probability of owning a dog * Probability of owning a cat given that they own a dog = 0.36 * 0.22 = 0.0792 Show more…
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