help This Question: 1 pt 10 of 15 (9 complete) This Test: 15 pts possitb E Quest

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This Question: 1 pt 10 of 15 (9 complete) This Test: 15 pts possitb E Question Help Suppose there is a 20 2% probablity that a randomly selected person aged 40 years or older is a n addit on, theres a 25.8% probability that a jogger and given that he or she jogs. What is the probability that a randomly selected person aged 40 years or older is female and jogs? Would t be unusual to randomly select a person aged 40 years or older who selected person aged 40 years or oider is female and jogs? The probability that a randomly selected person aged 40 years or older is temale and jogs s (Round to three decimal places as needed ) Would it be unusual? O No Yes Click to select your answerts) 9:43

Explanation / Answer

Probability of a person aged 40 years is female given that jogs = 25.8%

Probability of a person aged 40 years is joggers = 20.2%

We know that

Conditional probability

P ( female | jogs ) = P ( female and jogs ) / P ( joggers )

P ( female and jogs ) = P ( female | jogs ) * P ( joggers )

= 0.258 * 0.202 = 0.052

Answer :- No

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