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20 October, 17:12

The diameters of ball bearings are distributed normally. The mean diameter is 135 millimeters and the variance is 4. Find the probability that the diameter of a selected bearing is greater than 132 millimeters. Round your answer to four decimal places.

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  1. 20 October, 17:27
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    0.9332

    Step-by-step explanation:

    The variance is 4, so the standard deviation is √4 = 2.

    Calculate the z-score:

    z = (x - μ) / σ

    z = (132 - 135) / 2

    z = - 1.5

    Use a table or calculator to find the probability.

    P (Z > - 1.5) = 1 - 0.0668

    P (Z > - 1.5) = 0.9332
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