3. (Mixture model with fixed mean) Let d be a Bernoulli random variable with parameter 0 and let c be a continuous random variable defined on the same probability space. The conditional distributions of c given d = 0 and d = 1 are both Gaussian with zero mean and standard-deviation parameters of and of respectively. Derive the conditional pmf of d given c. Plot pa-(1 | c) as a function of c for 0 := 0.5, oo := 1, and 01 := 0.5