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12 April, 23:23

Each employee (on average) is equally productive, and each one's monthly sales are normally distributed with a mean of $127,000 and SD $24,000. What is the likelihood that at least two employees will have sales greater than $160,000 in a particular month?

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  1. 13 April, 01:01
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    0,1706

    Explanation:

    mean = $127.000

    SD = $ 24.000

    P (X> $160.000) = P (Z> (X-MEAN) / SD) = P (Z> (127.000-164.000) / 24.000)

    P (Z> - 1,375) = 1 - P (Z< 1,375) = 1 - 0,9147 = 0,0853 x 2 employees = 0,1706
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