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 independently.

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

b.) Calculate the mean of x.

c.) Calculate the variance of x.

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

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