(Mixture model with fixed mean) Let d be a Bernoulli random variable with parameter 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 0 and 1 respectively. Derive the conditional pmf of d given c. Plot pd| c (1 | c) as a function of c for := 0.5, 0 := 1, and 1 := 0.5