# calculating the probability that an item is defective.

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Question was asked previously and the calculations not detailed enough for me to determine how the answer was received. Please provide detailed explanation - I got a different answer and I KNOW mine is not right!

Question: A manufacturing process produces units that average 10 inches in length with a standard deviation of 3.2 inches. If only those units between 9.5 and 10.5 inches can be used, how many out of sample of 100 must be thrown away?

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##### Solution Summary

The following exercise uses a z-score to calculate the number of items from a manufacturing process that will need to be thrown out due to defectiveness.

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In order to answer this question, you must determine the z score for units with measurements of 9.5 and 10.5. Thus

z = (x - mean)/standard deviation

z for 9.5 = (9.5 - 10) / 3.2 = ...

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