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Airlines sometimes overbook flights. Suppose that for a

Probability and Statistics for Engineers and the Scientists | 9th Edition | ISBN: 9780321629111 | Authors: Ronald E. Walpole; Raymond H. Myers; Sharon L. Myers; Keying E. Ye ISBN: 9780321629111 32

Solution for problem 12E Chapter 3

Probability and Statistics for Engineers and the Scientists | 9th Edition

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Probability and Statistics for Engineers and the Scientists | 9th Edition | ISBN: 9780321629111 | Authors: Ronald E. Walpole; Raymond H. Myers; Sharon L. Myers; Keying E. Ye

Probability and Statistics for Engineers and the Scientists | 9th Edition

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Problem 12E

Airlines sometimes overbook flights. Suppose that for a plane with 50 seats, 55 passengers have tickets. Define the random variable Y as the number of ticketed passengers who actually show up for the flight. The probability mass function of Y appears in the accompanying table. a. ?What is the probability that the flight will accommodate all ticketed passengers who show up? b. ?What is the probability that not all ticketed passengers who show up can be accommodated? c. ?If you are the first person on the standby list (which means you will be the first one to get on the plane if there are any seats available after all ticketed passengers have been accommodated), what is the probability that you will be able to take the flight? What is this probability if you are the third person on the standby list?

Step-by-Step Solution:

Answer : Step 1 : Given Airlines sometimes overbook flights. Suppose that for a plane with 50 seats, 55 passengers have tickets. The probability mass function of Y appears in the accompanying table. y p(y) 45 0.05 46 0.1 47 0.12 48 0.14 49 0.25 50 0.17 51 0.06 52 0.05 53 0.03 54 0.02 55 0.01 Given the random variable Y as the number of ticketed passengers who actually show up for the flight. Now we have find the number of ticketed passengers who actually show up for the flight. Here A = the number of ticketed passengers who actually show up for the flight. The number of ticketed passengers who actually show up for the flight. P(A) = P(45) + P(46) + P(47) + P(48) + P(49) + P(50) + P(51) + P(52) + P(53)+ P(54)+P(55) P(A) = 0.06+ 0.10+ 0.12 + 0.14+ 0.24+ 0.17+ 0.06+ 0.05+ 0.03+ 0.02+ 0.01 P(A) = 1 Therefore the number of ticketed passengers who actually show up for the flight is 1.

Step 2 of 4

Chapter 3, Problem 12E is Solved
Step 3 of 4

Textbook: Probability and Statistics for Engineers and the Scientists
Edition: 9
Author: Ronald E. Walpole; Raymond H. Myers; Sharon L. Myers; Keying E. Ye
ISBN: 9780321629111

The full step-by-step solution to problem: 12E from chapter: 3 was answered by , our top Statistics solution expert on 05/06/17, 06:21PM. Since the solution to 12E from 3 chapter was answered, more than 1077 students have viewed the full step-by-step answer. This full solution covers the following key subjects: Probability, passengers, ticketed, show, Flight. This expansive textbook survival guide covers 18 chapters, and 1582 solutions. The answer to “Airlines sometimes overbook flights. Suppose that for a plane with 50 seats, 55 passengers have tickets. Define the random variable Y as the number of ticketed passengers who actually show up for the flight. The probability mass function of Y appears in the accompanying table. a. ?What is the probability that the flight will accommodate all ticketed passengers who show up? b. ?What is the probability that not all ticketed passengers who show up can be accommodated? c. ?If you are the first person on the standby list (which means you will be the first one to get on the plane if there are any seats available after all ticketed passengers have been accommodated), what is the probability that you will be able to take the flight? What is this probability if you are the third person on the standby list?” is broken down into a number of easy to follow steps, and 141 words. This textbook survival guide was created for the textbook: Probability and Statistics for Engineers and the Scientists, edition: 9. Probability and Statistics for Engineers and the Scientists was written by and is associated to the ISBN: 9780321629111.

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Airlines sometimes overbook flights. Suppose that for a