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 summarized 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.