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 quality to 3 greatest quality). A crosstabulation of the rating data is shown below. Forty-five of the restaurants received a rating of 1 on quality and 1 on meal price, 42 of the restaurants received a rating of 1 on quality and 2 on meal price, and so on. Thirty of the restaurants received the highest rating of 3 on both quality and meal price. Meal Price (y) Quality (x) 1 2 Total 1 45 42 06 2 36 57 66 159 3 12 30 51 Total 93 108 99 300 (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 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 quality to 3 greatest quality). A crosstabulation of the
rating data is shown below. Forty-five of the restaurants received a rating of 1 on quality and 1 on meal price,
42 of the restaurants received a rating of 1 on quality and 2 on meal price, and so on. Thirty of the
restaurants received the highest rating of 3 on both quality and meal price.
Meal Price (y)
Quality (x)
1
2
Total
1
45
42
3
06
2
36
57
66
159
3
12
9
30
51
Total
93
108
99
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 variance for quality rating, x.
(c) Compute the expected value and variance for meal price, y.
Transcribed Image Text: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 quality to 3 greatest quality). A crosstabulation of the rating data is shown below. Forty-five of the restaurants received a rating of 1 on quality and 1 on meal price, 42 of the restaurants received a rating of 1 on quality and 2 on meal price, and so on. Thirty of the restaurants received the highest rating of 3 on both quality and meal price. Meal Price (y) Quality (x) 1 2 Total 1 45 42 3 06 2 36 57 66 159 3 12 9 30 51 Total 93 108 99 300 (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 variance for quality rating, x. (c) Compute the expected value and variance for meal price, y.
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