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An airline knows that each passenger has probability .05 of not showing up, independently of all other passengers. Consequently, their policy is to sell 54 tickets for a flight that can hold only 50 passengers. What iş the probability that there will be a seat available for every passenger who shows up?

An airline knows that each passenger has probability .05 of not showing up, independently of all other passengers. Consequently, their policy is to sell 54 tickets for a flight that can hold only 50 passengers. What iş the probability that there will be a seat available for every passenger who shows up?

A First Course in Probability (10th Edition)
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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Don’t use Bernoulli formula
An airline knows that each passenger has probability .05 of not showing up, independently of all other passengers. Consequently, their policy is to sell 54 tickets for a flight that can hold only 50 passengers. What is the probability that there will be a seat available for every passenger who shows up?
Transcribed Image Text:An airline knows that each passenger has probability .05 of not showing up, independently of all other passengers. Consequently, their policy is to sell 54 tickets for a flight that can hold only 50 passengers. What is the probability that there will be a seat available for every passenger who shows up?
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