Question

In: Statistics and Probability

Suppose that the probability that a passenger will miss a flight is 0.0965. Airlines do not...

Suppose that the probability that a passenger will miss a flight is 0.0965. Airlines do not like flights with empty​ seats, but it is also not desirable to have overbooked flights because passengers must be​ "bumped" from the flight. Suppose that an airplane has a seating capacity of 54 passengers.

​(a) If 56 tickets are​ sold, what is the probability that 55 or 56 passengers show up for the flight resulting in an overbooked​ flight?

​(b) Suppose that 60 tickets are sold. What is the probability that a passenger will have to be​ "bumped"?

​(c) For a plane with seating capacity of 55 ​passengers, how many tickets may be sold to keep the probability of a passenger being​ "bumped" below

5%?

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