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The local video store has determined that 65% of the store's customers are women. What is the probability that the next 3 customers will be women? Round to the nearest percent.

  • Math - ,

    p = .65
    (1-p) = .35
    binomial distribution, n = 3
    binomial coefs for n = 3 are 1, 3, 3, 1
    probability of three women, zero men in three = coef(3,0)(p)^3 (1-p)^0
    = 1 (.65)^3 (1)
    = .2746 = 27%

  • Math - ,

    Of course I made this too hard. Since it is the trivial case of all the same, not for example two men and one woman, you could just say 3 independent events each with a probability of .65 or .65^3

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