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23 September, 06:22

A manufacturer knows that their items have a normally distributed length, with a mean of 18.1 inches, and standard deviation of 3.7 inches. If one item is chosen at random, what is the probability that it is less than 28.9 inches long

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  1. 23 September, 08:43
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    Step-by-step explanation:

    z = (X - μ) / σ, where X = date, μ = mean, σ = standard deviation

    z = (28.9 - 18.1) / 3.7

    z = 18.6

    0.06681 is the area for this z.

    6.681% shall be shorter than 18.6 inches.
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