Suppose that the probability that a passenger will miss a flight is 0.0904. 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 51 passengers. (a) If 53 tickets are sold, what is the probability that 52 or 53 passengers show up for the flight resulting in an overbooked flight? (b) Suppose that 57 tickets are sold. What is the probability that a passenger will have to be "bumped"? (c) For a plane with seating capacity of 220 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. (Round to four decimal places as needed.)

Suppose that the probability that a passenger will miss a flight is 0.0904. 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 51 passengers. (a) If 53 tickets are sold, what is the probability that 52 or 53 passengers show up for the flight resulting in an overbooked flight? (b) Suppose that 57 tickets are sold. What is the probability that a passenger will have to be "bumped"? (c) For a plane with seating capacity of 220 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. (Round to four decimal places as needed.)

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Concept explainers

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.

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Question

Suppose that the probability that a passenger will miss a flight is 0.0904. 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 51 passengers.

(a) If 53 tickets are sold, what is the probability that 52 or 53 passengers show up for the flight resulting in an overbooked flight?

(b) Suppose that 57 tickets are sold. What is the probability that a passenger will have to be "bumped"?

(c) For a plane with seating capacity of 220 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 [ ]

(Round to four decimal places as needed.)

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