4. ABC hotel in Ottawa has 20 rooms. Based on the past date, the hotel man- ager estimates t 15% chancre of any confirmed reservation is "no-show." Consequently, the hotel would like accept more confirmed reservations than 20, say, 25. If more con- firmed guests arrive th there are rooms, the overbooked guests are sent to another hotel and given a compliment dinner. Suppose that the hotel currently has 25 confirmed reservations.

Microeconomic Theory
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Chapter7: Uncertainty
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4. ABC hotel in Ottawa has 20 rooms. Based on the past date, the hotel man- ager estimates that
15% chancre of any confirmed reservation is "no-show." Consequently, the hotel would like to
accept more confirmed reservations than 20, say, 25. If more con- firmed guests arrive than
there are rooms, the overbooked guests are sent to another hotel and given a complimentary
dinner. Suppose that the hotel currently has 25 confirmed reservations.
(a) Is this a binomial experiment? Why or why not? What is the random variable of interest?
(b) Find
i. The probability that no customers will be sent to another hotel;
ii. The probability that exactly 2 guests will be sent to another hotel;
iii. The probability that 3 or more guests will be sent to another hotel.
Transcribed Image Text:4. ABC hotel in Ottawa has 20 rooms. Based on the past date, the hotel man- ager estimates that 15% chancre of any confirmed reservation is "no-show." Consequently, the hotel would like to accept more confirmed reservations than 20, say, 25. If more con- firmed guests arrive than there are rooms, the overbooked guests are sent to another hotel and given a complimentary dinner. Suppose that the hotel currently has 25 confirmed reservations. (a) Is this a binomial experiment? Why or why not? What is the random variable of interest? (b) Find i. The probability that no customers will be sent to another hotel; ii. The probability that exactly 2 guests will be sent to another hotel; iii. The probability that 3 or more guests will be sent to another hotel.
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