The aircraft for a particular flight has 72 seats. The airline's records show that historically for this flight only 90% of the people who purchase a ticket arrive to board the flight. They assume this trend will continue and decide to sell extra tickets and hope that no more than 72 passengers will arrive. The number of passengers that arrive to board this flight is assumed to follow a binomial distribution with a probability of 0.9. Each passenger pays $150 for a ticket. If too many passengers arrive, then the airline will give $300 in compensation to each passenger that cannot board. using binomial distribution ind the maximum number of tickets that could be s if the expected number of passengers who arrive t board the flight must be less than or equal to 72.

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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The aircraft for a particular flight has 72 seats. The
airline's records show that historically for this flight
only 90% of the people who purchase a ticket arrive to
board the flight. They assume this trend will continue
and decide to sell extra tickets and hope that no more
than 72 passengers will arrive. The number of
passengers that arrive to board this flight is assumed
to follow a binomial distribution with a probability of
0.9. Each passenger pays $150 for a ticket. If too many
passengers arrive, then the airline will give $300 in
compensation to each passenger that cannot board.
using binomial
distribution
Find the maximum number of tickets that could be sold
if the expected number of passengers who arrive to
board the flight must be less than or equal to 72.
Transcribed Image Text:The aircraft for a particular flight has 72 seats. The airline's records show that historically for this flight only 90% of the people who purchase a ticket arrive to board the flight. They assume this trend will continue and decide to sell extra tickets and hope that no more than 72 passengers will arrive. The number of passengers that arrive to board this flight is assumed to follow a binomial distribution with a probability of 0.9. Each passenger pays $150 for a ticket. If too many passengers arrive, then the airline will give $300 in compensation to each passenger that cannot board. using binomial distribution Find the maximum number of tickets that could be sold if the expected number of passengers who arrive to board the flight must be less than or equal to 72.
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