The following parts are unrelated. a. We say that 1A is an indicator function for the event A if 1A = {1 if A occurs, 0 if AC occurs. Find E[1A]. Compare the indicator function to a Bernoulli Random Variable. b. Consider a distribution that takes the set {1, 2, ..., n} as a support, for some fixed natural number n. Additionally, suppose this distribution assigns equal weight to each point in its support; this distribution is called the Discrete Uniform Distribution on {1, ..., n}. If X ~ Unif{1, ..., n}, compute E(X).
