# Question

A sporting goods company operates retail stores in the New York and Atlanta areas. Customers were asked to rate their shopping experiences, the results of which are sum-marized in the following table:

Shopping Experience Percentage

Poor ............ 15

Average ............ 45

Good............ 40

Consider the following information:

• 67% of the customers who rated their store Poor came from the Philadelphia area.

• 36% of the customers who rated their store Average came from the Philadelphia area.

• 30% of the customers who rated their store Good came from the Philadelphia area. Use Bayes’ Theorem to determine the probability that a customer who shopped in the Philadelphia area rated his or her experience as Good.

Shopping Experience Percentage

Poor ............ 15

Average ............ 45

Good............ 40

Consider the following information:

• 67% of the customers who rated their store Poor came from the Philadelphia area.

• 36% of the customers who rated their store Average came from the Philadelphia area.

• 30% of the customers who rated their store Good came from the Philadelphia area. Use Bayes’ Theorem to determine the probability that a customer who shopped in the Philadelphia area rated his or her experience as Good.

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