4. (Total 6 points) Suppose that X1,X2,... are iid random variables, each of which is equal to zero with probability g, and equal to one with probability 1 3. (a) (2 points) Let p : E (Xi), and let Z.n denote the quantity Zn : % ;(Xi H #1)- When n : 2, What is the probability that Zn 3 0.924? (Hint: x/i m 1.4142) (b) (4 points) How will your answer to (a) change as n > 00? (In other wordsj What happens to P(Zn g 0.924) as n > 00?)