(Total 6 points) Suppose that X1,X2,... are iid random variables, each ofwhich is equal to zero with probability , and equal to one with probability3?13° \text { (a) }\left(2 \text

{ points) Let } \mu=E\left(X_{i}\right), \text { and let } Z_{n}\right. \text { denote the quantity } Z_{n}=\frac{1}{\sqrt{n}} \sum_{i=1}^{n}\left(X_{i}-\mu\right) When n = 2, what is the probability that Zn < 0.924? \text { (4 points) How will your answer to (a) change as } n \rightarrow \infty \text { ? }