5.2 Let X and Y be independent, both with mean 0. Explain the error in the following derivation:

E[X | X − Y = 5] = E[X | X = Y + 5] = E[Y + 5] = 5 5.3 My dad has a car which breaks down all the time. In fact, he knows that the number of days until breaking down is a random variable with density f(i) = 1 N, for all i ∈ {1, 2,...,N},