The probabilities that an adult American man has high blood pressure and/or high

Question

The probabilities that an adult American man has high blood pressure and/or high cholesterol are shown in the following table. a) What is the probability that a man has high blood pressure and high cholesterol? b) What is the probability that a man has either high blood pressure or high cholesterol or both conditions? c) What is the probability a man has high blood pressure but not high cholesterol? d) What is the probability that a man has high cholesterol if it is known that he has high blood pressure?

Explanation / Answer

a) P(a man has high blood pressure and high cholestrol) = 0.11

b) P(a man has either high blood pressure or high cholestrol or both conditions) = 0.11 + 0.21 +0.16 = 0.48

c) P(a man has high blood pressure but not high cholestrol) = 0.16

d) P(a man has high cholestrol if it is known that he has high blood pressure) = 0.11/(0.11 + 0.16) = 0.4074

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