Question 4: Consider two random variablesX and Y where X {0, 1} and Y {a, b} .The joint PMF of X and Y is given by: P( X = 0, Y = a) = g, P(X = 0, Y = b) = g , P(X = 1, Y = a) = 3, P(X = 1, Y = b) = Answer the questions below: 4.a) Compute P(X = 0). 4.b) Compute P(X = 1). 4.c) What is the conditional probabilityP(Y = a|X = 0)? 4.d) What is the conditional probabilityP (Y = b|X = 0)? 4.e) Are X and Y independent? Hint: Compute the marginal PMF of Y