Suppose that Motorola uses the normal distribution to determine the probability 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 0.20 , and the process control is set at plus or minus one standard deviation, Units with weights iess than 9.80 or greater than 10.20 ounces will be classified as defects. Calculate the probability of o defect and the expected number of defects for a 1,000-unit prodvction 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: 8 8 (b) Assume that through process design improvements, the process standard deviation can be reduced to 0.08 . Assume that the process control remains the same, wich weights less than 9.80 or greater than 10.20 ounces being classified as defects. Caiculate 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: (c) What is the advantage of reduong process'variation, thereby cauting process control limts to be at a greater number of standard deviations from the mean? Reducing the process standard devition cavis a in the number of defects, (.)