Motorola used the normal distribution to determine the probability of defects and thenumber of defects expected in a production process. Assume a production processproduces items with a mean weight of 10 ounces. Calculate the probability of a defectand the expected number of defects for a 1000unit production run in the followingsituations.a. The process standard deviation is .15, and the process control is set at plus or minusone standard deviation. Units with weights less than 9.85 or greater than 10.15 ounceswill be classified as defects.b. Through process design improvements, the process standard deviation can be reducedto .05. Assume the process control remains the same, with weights less than 9.85 orgreater than 10.15 ounces being classified as defects.
Motorola used the
number of defects expected in a production process. Assume a production process
produces items with a mean weight of 10 ounces. Calculate the probability of a defect
and the expected number of defects for a 1000unit production run in the following
situations.
a. The process standard deviation is .15, and the process control is set at plus or minus
one standard deviation. Units with weights less than 9.85 or greater than 10.15 ounces
will be classified as defects.
b. Through process design improvements, the process standard deviation can be reduced
to .05. Assume the process control remains the same, with weights less than 9.85 or
greater than 10.15 ounces being classified as defects.
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