Suppose there is a 21.6% probability that a randomly selected person aged 25 yea

Question

Suppose there is a 21.6% probability that a randomly selected person aged 25 years or older is a jogger, In addition, there is a 25.5% probability that a randomly selected person aged 25 years or older is male, given that he or she jogs. What is the probability that a randomly selected person aged 25 years or older is male and jogs? Would it be unusual to randomly select a person aged 25 years or older who is male and jogs? The probability that a randomly selected person aged 25 years or older is male and jogs is (Round to three decimal places as needed.). Would it be unusual? Yes No

Explanation / Answer

P( person aged 25 or older jogs) = 0.216

P(person is male | jogs) = 0.255

P(person is male and jogs) = P( person aged 25 or older jogs) * P(person is male | jogs)

= 0.055

As the probability is very low, it is unusual to find such a person.

Answer: Yes

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