Afair die is rolled, and then a coin with probability p of heads is flipped as many times
as the die roll says, e. g., if the result of the die roll is a 3, then the coin is flipped 3
times. let x be the result of the die roll and y be the number of times the coin lands
heads.
(a) find the joint pmf of x and y . are they independent?
(b) find the marginal pmfs of x and y .
(c) find the conditional pmfs of y given x=x and of y given x=x.