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 produces items with a mean weight of 12 ounces.
a. the process standard deviation is 0.15 , and the process control is set at plus or minus 1 standard deviation . units with weights less than 11.85 or greater than 12.15 ounces will be classified as defects. what is the probability of a defect (to 4 decimals)?
b. through process design improvements, the process standard deviation can be reduced to 0.05 . assume the process control remains the same, with weights less than 11.85 or greater than 12.15 ounces being classified as defects. what is the probability of a defect (round to 4 decimals; if necessary)?
c. in a production run of parts, how many defects would be found (to the nearest whole number)?