Motorola used the normal distribution to determine the probability of defects an

Question

Motorola used the normal distribution to determine the probability of defects and the number of defects expected in a production process. Assume a production process proc items with a mean weight of 6 ounces. a. The process standard deviation is 0.1, and the process control is set at plus or minus 2.25 standard deviations. Units with weights less than 5.775 or greater than 6.225 o will be classified as defects. What is the probability of a defect (to 4 decimals)? In a production run of 1000 parts, how many defects would be found (to O decimals)? b. Through process design improvements, the process standard deviation can be reduced to 0.09. Assume the process control remains the same, with weights less than 5.77s greater than 6.225 ounces being cdassified as defects. What is the probability of a defect (rounded to 4 decimals; getting the exact answer, although not necessary, will req In a run of 1000 parts, how many defects would be found (to 0 deomals)? e to search Question 14 of 20 »

Explanation / Answer

As per the chegg policy, we are allowed to do one question at a time so i am attempting the 2nd image.

From statistical software output, the required z scores will be:

a) -0.81

b) 1.66

c) 0.27

d) 2.58

e) -0.51

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