A small hotel in a popular resort area has 25 rooms. The hotel manager estimates that 14% of all confirmed reservations are "no-shows." Consequently, the hot accepts confirmed reservations for as many as 30 rooms. If more confirmed reservations arrive than there are rooms, the overbooked guests are sent to anothe hotel and given a complementary dinner. Complete parts a through c below assuming that the hotel currently has 30 confirmed reservations. a. Find the probability that no customers will be sent to another hotel. The probability is (Round to four decimal places as needed.) b. Find the probability that exactly 2 guests will be sent to another hotel. The probability is (Round to four decimal places as needed.) c. Find the probability that 3 or more guests will be sent to another hotel. The probability is (Round to four decimal places as needed.)

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.8: Probabilities Of Disjoint And Overlapping Events
Problem 2C
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A small hotel in a popular resort area has 25 rooms. The hotel manager estimates that 14% of all confirmed reservations are "no-shows." Consequently, the hotel
accepts confirmed reservations for as many as 30 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 30 confirmed reservations.
a. Find the probability that no customers will be sent to another hotel.
The probability is
(Round to four decimal places as needed.)
b. Find the probability that exactly 2 guests will be sent to another hotel.
The probability is
(Round to four decimal places as needed.)
c. Find the probability that 3 or more guests will be sent to another hotel.
The probability is O
(Round to four decimal places as needed.)
Transcribed Image Text:A small hotel in a popular resort area has 25 rooms. The hotel manager estimates that 14% of all confirmed reservations are "no-shows." Consequently, the hotel accepts confirmed reservations for as many as 30 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 30 confirmed reservations. a. Find the probability that no customers will be sent to another hotel. The probability is (Round to four decimal places as needed.) b. Find the probability that exactly 2 guests will be sent to another hotel. The probability is (Round to four decimal places as needed.) c. Find the probability that 3 or more guests will be sent to another hotel. The probability is O (Round to four decimal places as needed.)
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