A small jet can carry up to44passengers and3crew members. There is a weight restriction of9000pounds on board. The combined weight of each passenger (or crew member) and his luggage has a mean of196pounds, with a standard deviation of67.8pounds. What is the probability that the weight limit will be exceeded when there are exactly44passengers and3crew members on board?

Carry your intermediate computations to at least four decimal places. Report your result to at least three decimal places.