Question

Suppose there is a 18.3 % probability that a randomly selected person aged 20 years or older is a jogger. In​ addition, there is a 22.3% probability that a randomly selected person aged 20 years or older is male, given that he or she jogs.

What is the probability that a randomly selected person aged 20 years or older is male and jogs?

Would it be unusual to randomly select a person aged 20 years or older who is male?

Answer 1

X = the person aged 20 years or older jogs

Y = the person aged 20 years or older is male

P(X ) = 0.183

P(Y|X) = 0.223

What is the probability that a randomly selected person aged 20 years or older is male and jogs?

P(X and Y) = P(Y|X) P(X) = 0.183 * 0.223 = 0.040809

Would it be unusual to randomly select a person aged 20 years or older who is male?

since the given probability 0.040809 < 0.05

It is unusual

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