Question 5 [20 pts] You must decide which of two discrete distributions a random variable X has. We will call the distributions p0 and p1. Here are the probabilities they assign to the values x of X. x 0123456 p0 0.1 0.1 0.2 0.3 0.1 0.1 0.1 p1 0.1 0.3 0.2 0.1 0.1 0.1 0.1 You have a single observation on X and wish to test H0 : p0 is correct Ha : p1 is correct One possible decision procedure is to reject H0 only if X 1. a. Find the probability of a Type I error, that is, the probability that you reject H0 when p0 is the correct distribution. b. Find the probability of a Type II error.