A restaurant serves three fixed price dinners costing $10, $15
and $20. For a randomly selected couple at this restaurant, let X =
the cost of the man’s dinner and Y = the cost of the woman’s
dinner. The joint pmf of X and Y is given below.
|
y
|
|
p(x,y)
|
10
|
15
|
20
|
|
10
|
0.05
|
0.06
|
0.09
|
|
15
|
0.15
|
0.10
|
0.25
|
|
20
|
0.02
|
0.18
|
0.10
|
(a) What is the probability that the man’s and the woman’s
dinner cost at most $15 each?
(b) What is the expected total cost of the dinner for two
people?
(c) Suppose that you will receive as refund the difference
between the cost of the more expensive and the less expensive meal
that you have chosen. How much would the restaurant expect to
refund?
dr.two
