Suppose there is a 20.3% probability that a randomly selected person aged 40 years or older is a jogger. In addition, there is a 13.8% probability that a randomly selected
person aged 40 years or older is male, given that he or she jogs. What is the probability that a randomly selected person aged 40 years or older is male and jogs? Would it be
unusual to randomly select a person aged 40 years or older who is male and jogs?
The probability that a randomly selected person aged 40 years or older is male and jogs is (Round to three decimal places as needed.).

Question

17-10-2021
Mathematics

contestada

Suppose there is a 20.3% probability that a randomly selected person aged 40 years or older is a jogger. In addition, there is a 13.8% probability that a randomly selected
person aged 40 years or older is male, given that he or she jogs. What is the probability that a randomly selected person aged 40 years or older is male and jogs? Would it be
unusual to randomly select a person aged 40 years or older who is male and jogs?
The probability that a randomly selected person aged 40 years or older is male and jogs is (Round to three decimal places as needed.).

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asiahcolon asiahcolon · Answer 1 · 2021-10-17T05:10:49+02:00

There is a 2.17% probability that a randomly selected person aged 40 years or older is male and jogs.

It would be unusual to randomly select a person aged 40 years or older who is male and jogs.

Step-by-step explanation:

We have these following probabilities.

A 13.9% probability that a randomly selected person aged 40 years or older is a jogger, so .

In addition, there is a 15.6% probability that a randomly selected person aged 40 years or older is male comma given that he or she jogs. I am going to say that P(B) is the probability that is a male. is the probability that the person is a male, given that he/she jogs. So

The Bayes theorem states that:

In which is the probability that the person does both thigs, so, in this problem, the probability that a randomly selected person aged 40 years or older is male and jogs.

So

There is a 2.17% probability that a randomly selected person aged 40 years or older is male and jogs.

A probability is unusual when it is smaller than 5%.

So it would be unusual to randomly select a person aged 40 years or older who is male and jogs.Step-by-step explanation: