please answer part B

Suppose that Motorola uses the normal datnbution to determine the probablity of defects and the number of defects in a particular production process. Assume that the production process manufactures items with a mean weight of 10 ounces. (a) Assume that the process standard deviation is 0.15 , and the process control is set at plus or minus one standard deviotion: Units wath weights less than 9.85 or greater than 10.15 ounces will be classified as defects. Calculate the probability of a defect and the expected number of defects for a 1,000-unit production run. If required, round your answer for the probability of a defect to four decimal places and for the number of defects to the nearest whole number. Probability of a defect: Number of defects: (b) Assume that through process design improvements, the process standard deviation can be reduced to 0.05. Assume that the process control remains the same, with weights less than 9.85 or greater then 10.15 ounces being dassified as defects. Calculate the probability of a defect and the expected number of defocts for a 1,000-unit procuction run. If required, found vour answer for the probabaty of a defect to four decimyl places and for the number of defects to the nearest whole number. Probability of a defect: Number of defects: (c) What is the advantage of reducing process variation, thereby causing process control limits to be at a greater number of standard deviations from the mean? Reducing the process standard deviation causes a O in the number of defects