Answer:
The value [tex]P(F\ n \ J) = 0.05[/tex]
The answer is No
Step-by-step explanation:
From the question we are told that
The probability a person is a jogger is [tex]P(J) = 21.9 \% = 0.219[/tex]
The probability that a person is female given that she jogs is [tex]P(F|J) = 21.9 \% = 0.219[/tex]
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
[tex]P(F\ n \ J) = P(J)* P(F|J)[/tex]
=> [tex]P(F\ n \ J) = 0.219* 0.219[/tex]
=> [tex]P(F\ n \ J) = 0.05[/tex]
Given that the probability is equal to 0.05 then it is not unusual
