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30 December, 09:31

Daytime high temperatures in New York in February are normally distributed with an average of 30.2º and a standard deviation of 8.5º. Estimate the probability that the temperature on a given day in February is 39º or higher.

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  1. 30 December, 11:31
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    We are given

    u = 30.2

    s = 8.5

    x ≥ 39

    First, we get the z-score

    z = (x - u) / s

    Subsituting

    z = (39 - 30.2) / 8.5

    z = 1.04

    From the z table, the probability is

    100% - 85.08% = 14.92%
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