Question

Suppose that the probability that a passenger will miss a flight is 0.09560.0956. Airlines do not...

Suppose that the probability that a passenger will miss a flight is

0.09560.0956.

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

5959

passengers.​(a) If

6161

tickets are​ sold, what is the probability that

6060

or

6161

passengers show up for the flight resulting in an overbooked​ flight?​(b) Suppose that

6565

tickets are sold. What is the probability that a passenger will have to be​ "bumped"?​(c) For a plane with seating capacity of

5454

​passengers, how many tickets may be sold to keep the probability of a passenger being​ "bumped" below

55​%?

​(a) The probability of an overbooked flight is

nothing.

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