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
Subject:StatisticsPrice:2.87 Bought7
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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Answer:
expected weight =45*195=8775
and std deviation=61.6*sqrt(45)=413.225
| probability =P(X>9200)=P(Z>(9200-8775)/413.225)=P(Z>1.03)=1-P(Z<1.03)=1-0.8485=0.1515 |
(try 0.1519 if this comes wrong)
