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Complete Question
Suppose there is a 14.3% probability that a randomly selected person aged 25 years or older is a jogger. In addition, there is a 52.6% probability that a randomly selected person aged 25 years or older is female, given that he or she jogs. What is the probability that a randomly selected person aged 25 years or older is female and jogs? Would it be unusual to randomly select a person aged 25 years or older who is female and jogs?
Answer:
The probability is
No it is not unusual
Step-by-step explanation:
From the question we are told that
The probability that a randomly selected person aged 25 or older is a jogger is
The probability that a randomly selected person aged 25 years or older is female, given that he or she jogs
Generally the the probability that a randomly selected person aged 25 years or older is female and jogs is mathematically evaluated using Bayes rules as follows
=>
=>
Generally this is not unusual because value obtained is greater than 0.05