Compute e y var y and covx y without using what is known

Question

1. Let X and Y be jointly distributed random variables such that Y | X = x ∈ Bin(n, x) with X ∈ U (0, 1).

Compute E Y , Var Y , and Cov(X, Y ) (without using what is known from Section 4 about the distribution of Y).

2. Let X and Y be jointly distributed random variables such that Y | X = x ∈ Fs(x) with fX (x) = 3x2, 0 ≤ x ≤ 1. Compute E Y , Var Y , Cov (X, Y ), and the distribution of Y.