The diameters of ball bearings are distributed normally. The mean diameter is 13

Statistics
Tutor: None Selected Time limit: 1 Day

The diameters of ball bearings are distributed normally. The mean diameter is
136
millimeters and the variance is
4
. Find the probability that the diameter of a selected bearing is greater than
137

millimeters. Round your answer to four decimal places

Oct 6th, 2015

Thank you for the opportunity to help you with your question!

The standard deviation is the square root of the variance.  So SD = sqrt(4) = 2

Z = (137 - 136) / 2 = 1/2 = 0.5  which is 0.5 standard deviations greater than the mean

P(Z > 0.5) = 1 - 0.691 = 0.309

Please let me know if you need any clarification. I'm always happy to answer your questions.
Oct 6th, 2015

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