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9 November, 14:08

Suppose there is a 27.5 % probability that a randomly selected person aged 25 years or older is a jogger. jogger. In addition, there is a 13.1% probability that a randomly selected person aged 25 years or older is male commamale, given that he or she jogs. jogs. What is the probability that a randomly selected person aged 25 years or older is malemale and jogs question markjogs? Would it be unusual to randomly select a person aged 25 years or older who is malemale and jogs question mark?

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  1. 9 November, 17:34
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    Answer: Hello there!

    If you randomly chose a person aged 25 years or older, there is a 27.5% (or 0.275 in decimal form) probability that this person is a jogger, and if this person is a jogger, there is a 13.1% (or 0.131 in decimal form) probability that this person is a male.

    Notice that the 13.1% probability of being a male, applies after the 27.5% of being a jogger.

    the question is:

    What is the probability that a randomly selected person aged 25 years or older is male and jogs?

    This is the joint probability of the two events, is the product of theyr probabilities:

    p = 0.275*0.131 = 0.047

    that is equivalent to 4.7%, which means that is unusual to randomly select a person aged 25 years or older who is male and jogs question mark
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