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    calculating the probability that an item is defective.

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    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 Preview

    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 = ...

    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.