A small jet can carry up to 44 passengers and 3 crew members. There is a weight restriction of 9000 pounds on board. The combined weight of each passenger (or crew member) and his luggage has a mean of 195.4 pounds, with a standard deviation of 69.2 pounds. What is the probability that the weight limit willl be exceeded when there are exactly 44 passangers and 3 crew members on board? Carry your intermediate computations to at least four decimal places.

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 11ECP: A manufacturer has determined that a machine averages one faulty unit for every 500 it produces....
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A small jet can carry up to 44 passengers and 3 crew members. There is a weight restriction of 9000 pounds on board. The combined weight of each passenger (or crew member) and his luggage has a mean of 195.4 pounds, with a standard deviation of 69.2 pounds. What is the probability that the weight limit willl be exceeded when there are exactly 44 passangers 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. 

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