Question 4 You run a shipping company that transports goods from China to the United States. The time it takes a shipment to reach the United States from China (in days) is normally distributed. The population of delivery times for all shipments has a mean of 40 days and a standard deviation of 6 days. {a} What is the probability that one of your shipments is delivered more than 12 days later than average? (b) If you sampled 100 random shipments, what is the probability that more than 58 of them take 40 days or more to reach their destination? (c) If you sampled 10,000 shipments, how many of them would you expect to be delivered within 28 to 52 days? ((1) What is the probability that a random sample of 16 of your shipments has an average delivery time less than 37 days