Costco is a warehouse store that requires its customers to have a membership to purchase items. Costco offers nonbusiness customers two types of membership. Gold Star members pay an annual fee of $50, whereas Executive members pay a $100 annual fee but also earn a 2% reward on most Costco pur- chases. The following contingency table shows the number of customers who had check-out totals above and below $200 along with their corresponding membership type. Membership

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter12: Probability
Section12.CR: Chapter 12 Review
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Costco is a warehouse store that requires its customers to have a membership to purchase items. Costco
offers nonbusiness customers two types of membership. Gold Star members pay an annual fee of $50,
whereas Executive members pay a $100 annual fee but also earn a 2% reward on most Costco pur-
chases. The following contingency table shows the number of customers who had check-out totals above
and below $200 along with their corresponding membership type.
Membership
Check-Out Total
Gold
Executive
$200 or less
66
21
More than $200
15
48
Set up a contingency table similar to that in Figure 4.8 showing the following:
a. marginal probabilities,
b. joint probabilities, and
c. conditional probabilities.
d. Display these probabilities in a decision tree using check-out
total as the starting branches.
e. What conclusions can be made concerning the spending
patterns of each membership type?
Answers can be found on page 196.
Transcribed Image Text:Costco is a warehouse store that requires its customers to have a membership to purchase items. Costco offers nonbusiness customers two types of membership. Gold Star members pay an annual fee of $50, whereas Executive members pay a $100 annual fee but also earn a 2% reward on most Costco pur- chases. The following contingency table shows the number of customers who had check-out totals above and below $200 along with their corresponding membership type. Membership Check-Out Total Gold Executive $200 or less 66 21 More than $200 15 48 Set up a contingency table similar to that in Figure 4.8 showing the following: a. marginal probabilities, b. joint probabilities, and c. conditional probabilities. d. Display these probabilities in a decision tree using check-out total as the starting branches. e. What conclusions can be made concerning the spending patterns of each membership type? Answers can be found on page 196.
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