The Chamber of Commerce in a Canadian city has conducted an evaluation of 300 restaurants in its metropolitan area. Each restaurant received a rating on a 3-point scale on typical meal price (1 least expensive to 3 most expensive) and quality (1 lowest to 3 greatest quality). A cross tabulation of the rating data is shown. Forty-two of the restaurants received a rating of 1 on quality and 1 on meal price, 39 of the restaurants received a rating of 1 on quality and 2 on meal price, and so on. Forty-eight of the restaurants received the highest rating of 3 on both quality and meal price.  Show Steps in Excel                                                                          Meal price (y)                                        1                           2                              3                        Total Quality (x) 1                  42                          39                          3                            84                  2                   33                         63                         54                          150                  3                     3                         15                         48                            66 Total                              78                        117                       105                          300 a Develop a bivariate probability distribution for quality and meal price of a randomly selected restaurant in this Canadian city. Let x = quality rating and y = meal price b Compute the expected value and the variance for quality rating, x. c.  Compute the expected value and variance for meal price, y.

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The Chamber of Commerce in a Canadian city has conducted an evaluation of 300 restaurants in its metropolitan area. Each restaurant received a rating on a 3-point scale on typical meal price (1 least expensive to 3 most expensive) and quality (1 lowest to 3 greatest quality). A cross tabulation of the rating data is shown. Forty-two of the restaurants received a rating of 1 on quality and 1 on meal price, 39 of the restaurants received a rating of 1 on quality and 2 on meal price, and so on. Forty-eight of the restaurants received the highest rating of 3 on both quality and meal price.  Show Steps in Excel
                                                                         Meal price (y)
                                       1                           2                              3                        Total

Quality (x) 1                  42                          39                          3                            84

                 2                   33                         63                         54                          150

                 3                     3                         15                         48                            66

Total                              78                        117                       105                          300

a Develop a bivariate probability distribution for quality and meal price of a randomly selected restaurant in this Canadian city. Let x = quality rating and y = meal price

b Compute the expected value and the variance for quality rating, x.

c.  Compute the expected value and variance for meal price, y.



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