A restaurant serves three fixed-price dinners costing $12, $15, and $20. For a randomly selected couple dinning at this restaurant, let X = the cost of person l's dinner and Y = the cost of the person 2s dinner. If the joint probability distribution of X and Y is assumed to be: Y P(X,Y) 12 15 20 12 10% 5% 10% 15 5% 10% 25% 20 5% 20% 10% What is the correlation between X and Y? b. What is the covariance between X and Y? a. If we now measure the cost of the meal in cents rather than dollars: a. What is the correlation between X and Y? b. What is the covariance between X and Y? A restaurant serves three fixed-price dinners costing $12, $15, and $20. For a randomly selected couple dinning at this restaurant, let X = the cost of person l's dinner and Y = the cost of the person 2s dinner. If the joint probability distribution of X and Y is assumed to be: Y P(X,Y) 12 15 20 12 10% 5% 10% 15 5% 10% 25% 20 5% 20% 10% What is the correlation between X and Y? b. What is the covariance between X and Y? a. If we now measure the cost of the meal in cents rather than dollars: a. What is the correlation between X and Y? b. What is the covariance between X and Y