Arestaurant serves three fixed-price dinners costing $20, $25, and $30. for a randomly selected couple dining at this restaurant, let x = cost of the means dinner and y = cost of the woman’s dinn the joint pmf of x and y is shown below:

a restaurant serves three fixed-price dinners cost

a.) compute the marginal pmf's of x and y.

b.) what is the probability that the man's and the woman's dinner cost at most $25 each?

c.) are x and y independent? justify your answer

d.) what is the expected total cost of the dinner for two people?

e.) suppose that when a couple opens fortune cookies at the conclusion of the meal, they find the message "you will recieve as a refund the difference between the cost of the more expensive and the less expensive meal that you have chosen." how much does the restaurant expect to refund?