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 0.15. Assume that the passengers behave indepedently. a.) Calculate the mean and the variance of x. b.) Find the probability that the flight departs with empty seats. c.) Determine the probability mass function of the number of passengers (x) who show up for the flight.

A First Course in Probability (10th Edition)
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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 n = 125 tickets for a flight that holds only 120 passengers. The probability that a passenger does not show up is 0.15. Assume that the passengers behave indepedently.

a.) Calculate the mean and the variance of x.

b.) Find the probability that the flight departs with empty seats. 

c.) Determine the probability mass function of the number of passengers (x) who show up for the flight.

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