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.
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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5.1
Transcribed Image Text: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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