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1 September, 02:59

Numa turma, 5% dos homens e 2% das mulheres tem mais de 1,60m de altura. Por outro lado, 60% dos estudantes são homens. Se um estudante é selecionado aleatoriamente e tem mais de 1,60m de altura, qual a probabilidade de que o estudantes seja mulher?

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  1. 1 September, 03:21
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    0.8%

    Step-by-step explanation:

    Because they are two independent events, the final probability is the product of the probability of each event.

    First event:

    The complement of a student being male is that he is female.

    Therefore, if 60% is male, the remaining 100% is 40%, meaning that 40% of the students are female.

    Second event:

    If she's taller than 5'4", we're told she has a 2% chance of being a woman.

    Therefore the final probability is:

    0.4*0.02 = 0.008

    That is, the probability that it is female and that it is over 1.6 meters tall is 0.8%.
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