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13 June, 22:29

A distribution of values is normal with a mean of 188 and a standard deviation of 20.8. Find the probability that a randomly selected value is less than 167.2.

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  1. 13 June, 23:18
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    Answer:0.8413

    Step-by-step explanation:

    Mean = 188, Std Dev. = 20.8, Z = (x-mean) / Std Dev

    P (X less than 167.2) = P (Z less than (167.2-188) / 20.8)

    =P (Z less than (-20.8/20.8))

    =P (z less than - 1) = P (Z less 1)

    The value of 1 in the normal distribution table is 0.3413

    So we add 0.5 to 0.3413 = 0.8413
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