8:04 PM Fri Jun 24 "5' L 37%[Jv webassignnet 13. [-I1 .25 Points] DETAILS ASWSBE14 S.E.017. MY NOTES ASK YOUR TEACH ER PRACTICE ANOTHER DATAIe: Coldstreamlz During the summer of 2018, Coldstream Country Club in Cincinnati, Ohio collected data on 443 rounds of golf played from its white tees. The data for each golfer's score on the twelfth hole are contained in the DATAIe CoidstreamIZ. (Round your answers to four decimal places.) (a) Construct an empirical discrete probability distribution for the player scores on the twelh hole. mm (b) Apar is the score that a good golfer is expected to get for the hole. For hole number 12, suppose that per is six. What is the probability of a player scoring less than or equal to par on hole number 12? U (c) What is the expected score for hole number 12? U (cl) What is the variance for hole number 12? D (e) What is the standard deviation for hole number 12? U Need Help? W 14. [-I1 .25 Points] DETAILS ASWSBE14 5.E.018. MY NOTES ASK YOUR TEACH ER PRACTICE ANOTHER The following data has been collected on the number of times that owner-occupied and renter-occupied units had a water supply stoppage lasting 6 or more hours in the past 3 months. Number of Units (1,0005) Number of Times Owner Occupied Renter Occupied 8:04 PM Fri Jun 24 '9' L 37%[Jh webassignnet (e) What observations can you make from a comparison of the number of water supply stoppages reported by owner-occupied units versus renter-occupied units? The expected number of times that owner-occupied units have a water supply stoppage lasting 6 or more hours in the past 3 months is v the expected value for renter-occupied units. The variability for owneroccupied units is v the variability for renter-occupied units. Need Help? 15. [11 .25 Points] DETAILS ASWSBE14 5.E.025. MY NOTES ASK YOUR TEACH ER PRACTICE ANOTHER Given below is a bivariate distribution for the random variables x and y. (a) Compute the expected value and the variance for x and y. ex) = :1 em = [:1 Var(x) = :J Var(y) = [j (b) Develop a probability distribution for x + y. (c) Using the result of part (b), compute E(X + y) and Vartx + y). ewe = :J Var(x + y) = S (d) Compute the covariance and correlation for X and y. (Round your answer for correlation to two decimal places.) cova ria nce :1 correlation C] Are x and y positively related, negatively related, or unrelated? The random variables x and y are v . (e) Is the variance of the sum of x and y bigger, smaller, or the same as the sum of the individual variances? Why? The variance of the sum ofx and y is v the sum of the variances by two times the covariance, which occurs whenever two random variables are w v . 8:05 PM Fri Jun 24 '9' L 37%[Jh webassign.net 16. [l1.25 Points] DETAILS ASWSBE14 5. E. 027. Ml. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER The Chamber of Commerce in a Canadian city has conducted an evaluation of 300 restaurants in is 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-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. (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. Meal Price y) Quality (x) (b) Compute the expected value and variance for quality rating, x expected value (c) Compute the expected value and variance for meal price, y. expected value variance DD (d) The Var(x + y) = 1.6875. Compute the covariance ofx and y. :1 What can you say about the relationship between quality and meal price? 15 this what you would expect? Since the covariance is v , we 7 conclude that as the quality rating increases, so does the meal price. (e) Compute the correlation coefficient between quality and meal price. (Round your answer to four decimal places.) :1 What is the strength of the relationship? Do you suppose it is likely to nd a low-cost restaurant in this city that is also high quality? Why or why not? The relationship between quality and meal price is v and it v likely to nd a low cost restaurant in this city that also has high quality. 8:04 PM Fri Jun 24 '9' b 37%[Jh webassign.net 14. [11.25 Points] ASWSBE145.E.018. ASK YOUR TEACHER PRACTICE ANOTHER The Following data has been collected on the number of times that owner-occupied and renter-occupied units had a water supply stoppage lasting 6 or more hours in the past 3 months. Number of Units (1, nous) Number of Times Owner Occupied Renter Occupied (a) Define a random variable X = number of times that owner-occupied units had a water supply stoppage lasting 6 or more hours in the past 3 months and develop a probability distribution for the random variable. (Let X = 4 represent 4 or more times. Round your answers to four decimal places.) (b) Compute the expected value and variance for x. (Round your answers to four decimal places.) expected value C] [:1 variance (c) Define a random variable y = number of times that renter-occupied units had a water supply stoppage lasting 6 or more hours in the past 3 months and develop a probability distribution for the random variable. (Let y = 4 represent 4 or more times. Round your answers to four decimal places.) (d) Compute the expected value and variance for y. (Round your answers to four decimal places.) expected value 8204 PM Fri Jun 24 4? L 37% [J. E webassign.net (e) Is the variance of the sum of x and y bigger, smaller, or the same as the sum of the individual variances? Why? The variance of the sum ofx and y is v the sum of the variances by two times the covariance, which occurs whenever two random variables are v . Need Help? 16. [11.25 Points] _ETAILS ASWSBE14 5.E.027.MI. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER 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-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. (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. Meal Price y) (b) Compute the expected value and variance for quality rating, x expected value (c) Compute the expected value and variance for meal price, y. expected value :] :1 variance (d) The Var(x + y) = 1.6875. Compute the covariance ofx and y. :1 What can you say about the relationship between quality and meal price? 15 this what you would expect? (