Question

Suppose there is a 21.9% probability that a randomly selected person aged 20 years or older is a jogger. In addition, there is a 21.9% probability that a randomly selected person aged 20 years or older is female, given that he or she jogs. What is the probability that a randomly selected person aged 20 years or older is female and jogs? Would it be unusual to randomly select a person aged 20 years or older who is female and jogs?

The probability that a randomly selected person aged 35 years or older is female and jogs is Would it be unusual?
A. No
B. Yes

Answer 1

The value
`P(F\ n \ J) = 0.05`

The answer is No

Explanation:

From the question we are told that

The probability a person is a jogger is
`P(J) = 21.9 \% = 0.219`

The probability that a person is female given that she jogs is
`P(F|J) = 21.9 \% = 0.219`

Generally the probability that a randomly selected person aged 20 years or older is female and jogs? Would it be unusual to randomly select a person aged 20 years or older who is female and jogs is mathematically represented as

`P(F\ n \ J) = P(J)* P(F|J)`

=>
`P(F\ n \  J) = 0.219* 0.219`

=>
`P(F\ n \  J) = 0.05`

Given that the probability is equal to 0.05 then it is not unusual