Exercise 5.1 Because all airline passengers do not show up for their reserved seat, an airline sells n= 125 tickets for a flight that holds only 120 passengers. The probability that a passenger does not show up is 0.10. Assume that the passengers behave independently. 1. Determine the probability mass function of the number of passengers (X) who show up for the flight. 2. Find the probability that the flight departs with empty seats. 3. Calculate the mean and variance of X.

Exercise 5.1 Because all airline passengers do not show up for their reserved seat, an airline sells n= 125 tickets for a flight that holds only 120 passengers. The probability that a passenger does not show up is 0.10. Assume that the passengers behave independently. 1. Determine the probability mass function of the number of passengers (X) who show up for the flight. 2. Find the probability that the flight departs with empty seats. 3. Calculate the mean and variance of X.

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Description: Exercise 5.1 Because all airline passengers do not show up for their reserved seat, anairline sells n = 125 tickets for a flight that holds only 120 passengers. Theprobability that a passenger does not show up is 0.10. Assume that the passengersbeha

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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Exercise 5.1 Because all airline passengers do not show up for their reserved seat, an
airline sells n = 125 tickets for a flight that holds only 120 passengers. The
probability that a passenger does not show up is 0.10. Assume that the passengers
behave independently.
1. Determine the probability mass function of the number of passengers
(X) who show up for the flight.
2. Find the probability that the flight departs with empty seats.
3. Calculate the mean and variance of X.

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