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Suppose that 58 tickets are sold. What is the probability that a passenger will have to be "bumped"? (c) For a plane with seating capacity of 230 passengers, what is the largest number of tickets that can be sold to keep the probability of a passenger being "bumped" below 1%?

Suppose that 58 tickets are sold. What is the probability that a passenger will have to be "bumped"? (c) For a plane with seating capacity of 230 passengers, what is the largest number of tickets that can be sold to keep the probability of a passenger being "bumped" below 1%?

College Algebra
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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Please help solve part (b) and (c) on this question.

Suppose that the probability that a passenger will miss a flight is 0.0907. Airlines do not like flights with empty seats, but it is also not desirable to have overbooked flights because passengers must be "bumped" from the flight. Suppose that an airplane has a seating capacity of 52 passengers.

(b) Suppose that 58 tickets are sold. What is the probability that a passenger will have to be "bumped"?

(c) For a plane with seating capacity of 230 passengers, what is the largest number of tickets that can be sold to keep the probability of a passenger being "bumped" below 1%?

**THIS IS NOT A GRADED QUESTION, IT IS PRACTICE HOMEWORK**

Suppose that the probability that a passenger will miss a flight is 0.0907. Airlines do not like flights with empty seats, but it is also not desirable to have overbooked flights because passengers must be "bumped" from the flight. Suppose that an airplane has a seating capacity of 52 passengers. (a) If 54 tickets are sold, what is the probability that 53 or 54 passengers show up for the flight resultıng in an overbooked flight? (b) Suppose that 58 tickets are sold. What is the probability that a passenger will have to be "bumped"? (c) For a plane with seating capacity of 230 passengers, what is the largest number of tickets that can be sold to keep the probability of a passenger being "bumped" below 1%? (a) The probability of an overbooked flight is 0.0376 (Round to four decimal places as needed.) (b) The probability that a passenger will have to be bumped is (Round to four decimal places as needed.)
Transcribed Image Text:Suppose that the probability that a passenger will miss a flight is 0.0907. Airlines do not like flights with empty seats, but it is also not desirable to have overbooked flights because passengers must be "bumped" from the flight. Suppose that an airplane has a seating capacity of 52 passengers. (a) If 54 tickets are sold, what is the probability that 53 or 54 passengers show up for the flight resultıng in an overbooked flight? (b) Suppose that 58 tickets are sold. What is the probability that a passenger will have to be "bumped"? (c) For a plane with seating capacity of 230 passengers, what is the largest number of tickets that can be sold to keep the probability of a passenger being "bumped" below 1%? (a) The probability of an overbooked flight is 0.0376 (Round to four decimal places as needed.) (b) The probability that a passenger will have to be bumped is (Round to four decimal places as needed.)
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