Suppose that a cell phone manufacturer 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. Calculate the probability of a defect and the suspected number of defects for a 1,000-unit production run in the following situations.

(a)The process standard deviation is 0.3, and the process control is set at plus or minus 1.1 standard deviations. Units with weights less than 9.67 or greater than 10.33 ounces will be classified as defects.

1.Calculate the probability of a defect. (Round your answer to four decimal places.)

2.Calculate the expected number of defects for a 1,000-unit production run. (Round your answer to the nearest integer.)

(b)Through process design improvements, the process standard deviation can be reduced to 0.15. Assume the process control remains the same, with weights less than 9.67 or greater than 10.33 ounces being classified as defects.

1.Calculate the probability of a defect. (Round your answer to four decimal places.)

2.Calculate the expected number of defects for a 1,000-unit production run. (Round your answer to the nearest integer.) defects