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 complementary 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