Suppose that the probability that a passenger will miss a flight is 0.0949. 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 57 passengers. (a) If 59 tickets are sold, what is the probability that 58 or 59 passengers show up for the flight resulting in an overbooked flight? (b) Suppose that 63 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 nothing. (Round to four decimal places as needed.)
Suppose that the probability that a passenger will miss a flight is 0.0949. 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 57 passengers. (a) If 59 tickets are sold, what is the probability that 58 or 59 passengers show up for the flight resulting in an overbooked flight? (b) Suppose that 63 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 nothing. (Round to four decimal places as needed.)
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 4ECP: Show that the probability of drawing a club at random from a standard deck of 52 playing cards is...
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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
0.0949.
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
57
passengers.(a) If
59
tickets are sold, what is the probability that
58
or
59
passengers show up for the flight resulting in an overbooked flight?(b) Suppose that
63
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
nothing.
(Round to four decimal places as needed.)
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