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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. Round your answers to two decimal places. Meal Price y Quality x 1 2 3 Total 42 1 2 Total b. Compute the expected value and variance for quality rating, x. E(x) = (Round your answer to two decimal places) Var(2) = c. Compute the expected value and variance for meal price, y. (Round your answer to four decimal places) E(y) = (Round your answer to two decimal places) Var(y) = (Round your answer to four decimal places)

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. Round your answers to two decimal places. Meal Price y Quality x 1 2 3 Total 42 1 2 Total b. Compute the expected value and variance for quality rating, x. E(x) = (Round your answer to two decimal places) Var(2) = c. Compute the expected value and variance for meal price, y. (Round your answer to four decimal places) E(y) = (Round your answer to two decimal places) Var(y) = (Round your answer to four decimal places)

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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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. Forty-two of the restaurants received a rating of 1 on quality and 1 on meal price, 36 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. Meal Price (y) Quality (x) 1 2 Total 1 42 36 3 81 2 33 63 51 147 3 21 48 72 Total 78 120 102 300 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. Round your answers to two decimal places. Meal Price y Quality e 1. 2 3 Total 42 2 3 Total b. Compute the expected value and variance for quality rating, x. E(x) = (Round your answer to two decimal places) Var(2) = (Round your answer to four decimal places)
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. Forty-two of the restaurants received a rating of 1 on quality and 1 on meal price, 36 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. Meal Price (y) Quality (x) 1 2 Total 1 42 36 3 81 2 33 63 51 147 3 21 48 72 Total 78 120 102 300 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. Round your answers to two decimal places. Meal Price y Quality e 1. 2 3 Total 42 2 3 Total b. Compute the expected value and variance for quality rating, x. E(x) = (Round your answer to two decimal places) Var(2) = (Round your answer to four decimal places)
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. Round your answers to two decimal places. Meal Price y Quality x 1 3 Total 42 1 3 Total b. Compute the expected value and variance for quality rating, x. E(x) = (Round your answer to two decimal places) Var(a) = (Round your answer to four decimal places) c. Compute the expected value and variance for meal price, y. E(y) = (Round your answer to two decimal places) Var(y) = d. Your assistant has computed the variance of x + y: Var(a +y) = 1.6675. Compute the covariance of æ and y. Round your answer to four decimal places. (Round your answer to four decimal places) What can you say about the relationship between quality and meal price? As quality increases, price increases Is this what you would expect? Yes e. Compute the correlation coefficient between quality and meal price? Round your answer to four decimal places.
Transcribed Image Text: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. Round your answers to two decimal places. Meal Price y Quality x 1 3 Total 42 1 3 Total b. Compute the expected value and variance for quality rating, x. E(x) = (Round your answer to two decimal places) Var(a) = (Round your answer to four decimal places) c. Compute the expected value and variance for meal price, y. E(y) = (Round your answer to two decimal places) Var(y) = d. Your assistant has computed the variance of x + y: Var(a +y) = 1.6675. Compute the covariance of æ and y. Round your answer to four decimal places. (Round your answer to four decimal places) What can you say about the relationship between quality and meal price? As quality increases, price increases Is this what you would expect? Yes e. Compute the correlation coefficient between quality and meal price? Round your answer to four decimal places.
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