Question 6.22

6.22 Supplier delivery times.

Supplier on-time delivery performance is critical to enabling the buyer’s organization to meet its customer service commitments. Therefore, monitoring supplier delivery times is critical. Based on a great deal of historical data, a manufacturer of personal computers finds for one of its just-in-time suppliers that the delivery times are random and well approximated by the Normal distribution with mean 51.7 minutes and standard deviation 9.5 minutes.

  1. What is the probability that a particular delivery will exceed one hour?
  2. Based on part (a), what is the probability that a particular delivery arrives in less than one hour?
  3. What is the probability that the mean time of five deliveries will exceed one hour?