question archive A small jet can carry up to 42 passengers and 3 crew members

A small jet can carry up to 42 passengers and 3 crew members

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A small jet can carry up to 42 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 195 pounds, with a standard deviation of 61.6 pounds. What is the probability that the weight limit will be exceeded when there are exactly 42 passengers and 3 crew members on board? Carry your intermediate computations to at least four decimal places. 

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