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

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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Because all airline passengers do not show up for their reserved seat, an airline sells 125 tickets for a flight that holds only 120 passengers. The probability that a passenger does not show up is 0.10, and the passengers behave independently.

  1. Determine the probability mass function of the number of passenger (X) who shows 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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