3.(20pts) Let X1, ..., Xn be a random sample from the N(, 2.5 2 ). For null hypothesis H0 : = 12 and alternative hypothesis Ha : = 13, the rejection region for H0 is x > 12.45. (a) Find the type I error and type II error . (Use standard normal CDF (x) to express) (b) To make the probability of the type II error 0.01, how many samples should be sampled at least? ((2.3) = 0.99) (c) Please show that when n , 0, 0.