A small jet can carry up to 44 passengers and 3 crew members. There is a weight restriction of 9200 pounds on board. The combined weight of each passenger (or crew member) and his luggage has a mean of 200.4 pounds, with a standard deviation of 69.3 pounds. What is the probability that the weight limit will be exceeded when there are exactly 44 passengers and 3 crew members on board?
Carry your intermediate computations to at least four decimal places. Report your result to at least three decimal places.