Problem 2: Assume that Y = B+X where X is a zero mean Gaussian random variable withvariance 0.1 and

Problem 2: Assume that Y = B+X where X is a zero mean Gaussian random variable withvariance 0.1 and B is a Bernoulli random variable with probability (B and X are independent)p , P(B = 1) = 0.1– Compute E[Y |B = 1].– Compute E[Y ].– Compute FY |B(y|B = 1).– Compute FY (y)