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In: Statistics and Probability

Because not all airline passengers show up for their reserved seats, an airline sells 125 tickets...

Because not all airline passengers show up for their reserved seats, an airline sells 125 tickets for a flight that holds only 120 passengers. The proportion that a passenger does not show up is 10%, and the passengers behave independently. [Think Binomial Dist.]

a. What is the proportion that every passenger who shows up gets a seat?

b. What is the proportion that the flight departs with empty seats?

c. What are the mean and standard deviation of the number of passengers who show up?

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