QMS 102 - Exam Review
1. The Westminster Hotel Restaurant summarized its December 12 restaurant data by constructing the cross
classification table of entree, beverage and dessert choices below.
BEVERAGE> Beer Wine Coffee
DESSERT> Pie Cake Ice Pie Cake Ice Pie Cake Ice
Cream Cream Cream
E Beef 3 1 2 0 0 0 2 0 3
Chicken 4 4 0 3 0 5 0 0 0
E Fish 0 2 0 2 0 1 5 3 0
Use the table above as a basis for assigning probabilities for the following questions.
a. What is the probability that a customer’s entree will be fish?
b. If a customers entree is not beef, what is the probability that the customer will have pie for desert?
c. What is the probability that the customer will have pie or chicken? 2. Every month the Westminister Hotel constructs a histogram of daily room rentals. The management is
concerned that the number of rooms rented per day in December 1998 is below that of the previous month and
has constructed a histogram based on the first 15 days of December.
a. Using information available from the histograms, determine if the average number of rooms rented per day in
December (so far), is less than in November.
b. Is the relative variability in the number of rooms rented per day in December (so far), more than that of
November? 3. After midnight on weekdays, room service calls are randomly and independently received at the front desk at
the rate of 0.3 calls per hour. The management of the Westminster Hotel is also aware that 40% of room
service calls are a request for a pizza.
a. Next Tuesday, what is the probability that no room service calls will be made between 1am and 2am.
b. Next Wednesday, what is the probability that more than 3 room service calls will be received between 1am and
c. Suppose that between 2am and 5am tonight that there were 6 service calls. What is the probability that at most
3 pizzas were ordered in that period? 4. To develop an efficient marketing strategy the Westminster Hotel wanted to understand the origin (home city)
of its customers. The results of a survey of 2000 previous guests of the Westminster Hotel was summarized on
the pie chart- “Origin of Customers”.
a. The management wants to know why their guests choose the Westminster Hotel and randomly selected 12 of
its current customers for an
additional survey. What is the
probability that at least 2 of the 12
are from Toronto?
b. The management is considering
randomly selecting 100 guests
sampled in the survey of previous
customers and sending them a
discount coupon. What is the
probability that less than 20% of the
sample of 100 guests will be from
Toronto? 5. The management of the Westminster Hotel wants to better understand its guests. A key factor is the guest’s
annual incomes in dollars. The hotel has managed to obta