small hotel in a popular resort area has 20 rooms. The hotel manager estimates that 17​% 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. Complete parts a through c below assuming that the hotel currently has 25 confirmed reservations. a. Find the probability that no customers will be sent to another hotel. b. Find the probability that exactly 1 guest will be sent to another hotel. c.Find the probability that 2 or more guests will be sent to another hotel.

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small hotel in a popular resort area has 20 rooms. The hotel manager estimates that 17​% 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. Complete parts a through c below assuming that the hotel currently has 25 confirmed reservations.

a. Find the probability that no customers will be sent to another hotel.
b. Find the probability that exactly 1 guest will be sent to another hotel.
c.Find the probability that 2 or more guests will be sent to another hotel.
A small hotel in a popular resort area has 20 rooms. The hotel manager estimates that 17% 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. Complete parts a through c below assuming that the hotel currently has 25 confirmed reservations.
a. Find the probability that no customers will be sent to another hotel.
The probability is 0.4241.
(Round to four decimal places as needed.)
b. Find the probability that exactly 1 guest will be sent to another hotel.
The probability is 0.2111.
(Round to four decimal places as needed.)
c. Find the probability that 2 or more guests will be sent to another hotel.
The probability is
(Round to four decimal places as needed.)
Transcribed Image Text:A small hotel in a popular resort area has 20 rooms. The hotel manager estimates that 17% 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. Complete parts a through c below assuming that the hotel currently has 25 confirmed reservations. a. Find the probability that no customers will be sent to another hotel. The probability is 0.4241. (Round to four decimal places as needed.) b. Find the probability that exactly 1 guest will be sent to another hotel. The probability is 0.2111. (Round to four decimal places as needed.) c. Find the probability that 2 or more guests will be sent to another hotel. The probability is (Round to four decimal places as needed.)
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