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October 21, 2014

October 21, 2014

Posted by **john** on Sunday, August 5, 2007 at 9:45am.

A company manufacturers batteries in BATCHES of 18 and there is a 3% rate of defect. Find the standard deviation for the number of defects per batch.

The probability of a defect is p = 0.03

The mean number of defects in a batch of N = 18 is m = p N = 0.03 x 18 = 0.54

The standard deviation of the number of defects in a batch of 18 is

sigma = sqrt [N p (1-p)] = 0.72, which actually exceeds the mean value in this case.

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