1. Suppose that h(x) is a function such that h(x) > 0 for x = 1, 2, ..., 1. Argue that h(x) p(x) = E h(i) is a valid PMF (probability mass function). 2. Suppose that g(x) is a function such that g(x) > 0 for every x E R and c = [ g(x) dx