A restaurant serves 3 fixed price dinners costing $17, $19, $25. For the randomly chosen man & woman pair dining at this restaurant, let X = the cost of man's dinner, let Y = the cost of woman's dinner
The joint pmf of X and Y is given in the following table:
x
P(x,y) 17 19 25
17 .01 .07 .05
y 19 .07 .03 .22
25 .05 .17 .33
a.) Calculate the marginal pmf's of X and Y
b.) Determine the probability that the man's and the woman's dinner cost at most $19 each?
c.) Are X and Y independent? Justify your answer.