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.

Question

Mathematics

Serenity Nash

13 September, 19:31

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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Answers (1)

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Cindy · Answer 1

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