A manufacturing company produces steel bolts to be used on a certain truck. The lengths of the bolts have a mean length of 6 inches and a standard deviation of 0.1 inch. Samples of size 50 are examined at random, and if the average length is outside the interval 5.98 to 6.02 inches, the entire production for the day is examined. Find the probability that a day’s production will have to be examined.

A manufacturing company produces steel bolts to be used on a certain truck. The lengths of the bolts have a mean length of 6 inches and a standard deviation of 0.1 inch. Samples of size 50 are examined at random, and if the average length is outside the interval 5.98 to 6.02 inches, the entire production for the day is examined. Find the probability that a day’s production will have to be examined.