A small hotel in a popular resort area has 20 rooms. The hotel manager estimates that 15% ofall confirmed reservations are “no-shows.” Consequently, the hotel accepts confirmedreservations for as many as 25 rooms. If more confirmed reservations arrive than there arerooms, the overbooked guests are sent to another hotel and given a complementary dinner. Ifthe hotel currently has 25 confirmed reservations, finda. the probability that no customers will be sent to another hotelb. the probability that exactly 2 guests will be sent to another hotelc. the probability that 3 or more guests will be sent to another hote
Contingency Table
A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.
Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
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
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 hote
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