A restaurant is experiencing discontentment among its customers. It analyses that there are three factors responsible viz. food quality, service quality and interior decor. By conducting an analysis, it assesses the probabilities of discontentment with the three factors as .40, .35 and .25, respectively. By conducting a survey among customers, it also evaluates the probabilities of a customer going away discontented on account of these factors as: .6, .8, and .5, respectively. (i) What are the chances that a customer will be discontented? (ii) If a customer is discontented, what are the probabilities that it is due to food quality or interior decor?

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 11ECP: A manufacturer has determined that a machine averages one faulty unit for every 500 it produces....
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A restaurant is experiencing discontentment among
its customers. It analyses that there are three factors
responsible viz. food quality, service quality and interior
decor. By conducting an analysis, it assesses the
probabilities of discontentment with the three factors
as .40, .35 and .25, respectively. By conducting a
survey among customers, it also evaluates the
probabilities of a customer going away discontented
on account of these factors as: .6, .8, and .5,
respectively.
(i) What are the chances that a customer will be
discontented?
(ii) If a customer is discontented, what are the
o probabilities that it is due to food quality or
interior decor?
Transcribed Image Text:A restaurant is experiencing discontentment among its customers. It analyses that there are three factors responsible viz. food quality, service quality and interior decor. By conducting an analysis, it assesses the probabilities of discontentment with the three factors as .40, .35 and .25, respectively. By conducting a survey among customers, it also evaluates the probabilities of a customer going away discontented on account of these factors as: .6, .8, and .5, respectively. (i) What are the chances that a customer will be discontented? (ii) If a customer is discontented, what are the o probabilities that it is due to food quality or interior decor?
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