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A restaurant chain routinely surveys customers and among other questions asks each customer whether he or she would return and to rate the quality of food. Summarizing hundreds of thousands of questionnaires produced this table of joint probabilities.
Ratings
Customer Will Return
Customer Will Not Return
Poor
0.02
0.1
Fair
0.08
0.09
Good
0.35
0.14
Excellent
0.2
a. What proportion of customers say that they will return and rate the restaurant's food as good?
b. What proportions of customers who say that they will return rate the restaurant's food as good?
c. What proportions of customers who rate the restaurant's food as good say that they will return?
d. Discuss the differences in your answers to parts (a), (b), and (c).
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