5. Let's say that we toss 4 fair coins all independently of each other. It turns out that the first coin comes up as Heads. Let us define Y as the number of Heads in tossing the three coins (including the first one). (a) (3 pts) What is the conditional distribution of the number of heads for the remaining three tosses, which is denoted by X, given that the first coin comes up as Heads? = 2X+5. What are the expected value and variance of Y? State your (b) (3 pts) Note that Y logic and propositions used.