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.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
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Author:Carter
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Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 10CYU
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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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