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A Statistical Tutorial Centre has been designed to handle a maximum of 25 students per day. Suppose that the number X of students visiting this centre each day is a normal random variable with mean 15 and variance 16.

Part a) What is the return period for this centre rounded to the nearest day?

how should i start this question?

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  1. 4 July, 03:03
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    A. return period = 1/p

    where p = prob x>25

    Z = (x-mean) / stand dev,

    Recall stand dev = sqrt (variance)

    Z = (25-15) / 4

    Z=2.5 which corresponds to. 4938

    Prob of x>25=.5-.4938=.0062

    p=.0062

    1/p = 161.29

    161 days
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