What is the probability that the diameter will exceed 0.91 inch?

The diameter of an electric cable is normally distributed, with a mean of 0.9 inch and standard deviation of 0.01 inch. What is the probability that the diameter will exceed 0.91 inch?

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1 Answer

0.91 inch is 1 standard deviation from the mean, so Z=1, because (0.91-0.9)/0.01=1.

The probability for Z=1 in the normal distribution is 0.8413, that is, 84.13% probability of up to 0.91 inch diameter. That leaves 15.87% probability of diameter>0.91 in.

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