3. Airlines sometimes overbook flights (anticipating that some passengers will not show up). Suppose that an airline took 110 reservations for a plane that has 100 seats. Let X = the number of people with reservations who will actually show up for the flight The probability distribution of X is: X | 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 P(X = x) | 0.05 0.10 0.12 0.14 0.24 0.17 0.06 0.04 0.03 0.02 0.01 0.007 0.006 0.004 0.003 (a) What is the probability that everyone who showed up for the flight can get on the flight? (b) What is the probability that exactly one passenger will not be able to get on the flight? (c) If you don't have reservations and you are number 2 on the stand-by list, what is the probability that you will be able to get on this flight?

3. Airlines sometimes overbook flights (anticipating that some passengers will not show up). Suppose that an airline took 110 reservations for a plane that has 100 seats. Let X = the number of people with reservations who will actually show up for the flight The probability distribution of X is: X | 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 P(X = x) | 0.05 0.10 0.12 0.14 0.24 0.17 0.06 0.04 0.03 0.02 0.01 0.007 0.006 0.004 0.003 (a) What is the probability that everyone who showed up for the flight can get on the flight? (b) What is the probability that exactly one passenger will not be able to get on the flight? (c) If you don't have reservations and you are number 2 on the stand-by list, what is the probability that you will be able to get on this flight?

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A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

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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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

3. Airlines sometimes overbook flights (anticipating that some passengers will not show up).
Suppose that an airline took 110 reservations for a plane that has 100 seats.
Let X = the number of people with reservations who will actually show up for the flight
The probability distribution of X is:
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109
P(X = x) | 0.05 0.10 0.12 0.14 0.24 0.17 0.06 0.04 0.03 0.02 0.01 0.007 0.006 0.004 0.003
(a) What is the probability that everyone who showed up for the flight can get on the flight?
(b) What is the probability that exactly one passenger will not be able to get on the flight?
(c) If you don't have reservations and you are number 2 on the stand-by list, what is the probability
that you will be able to get on this flight?

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