A small hotel in a popular resort area has 20 rooms. The hotel manager estimates that 15%

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A small hotel in a popular resort area has 20 rooms.

The hotel manager estimates that 15% of all confirmed reservations are “no-shows.” Consequently, the hotel accepts confirmed reservations for as many as 25 rooms. If more confirmed reservations arrive than there are rooms, the overbooked guests are sent to another hotel and given a complimentary dinner. If the hotel currently has 25 confirmed reservations, find

a. the probability that no customers will be sent to another hotel

b. the probability that exactly 2 guests will be sent to another hotel

c. the probability that 3 or more guests will be sent to another hotel

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