Assume the sequence of random variables X1, X2, ... where X; has a 1/3 probability of being 1, 2 and 3, and where all the X; are independent. 1. Compute E[X] and SD(Xi). 2. Let Y = X1+Xato X100. Rather then explicitly computing the p.d.f. of Y by hand (as done when averaging 2 and 3 of the X, in the example), the Central Limit Theorem says you can approximate Y by what random variable? Write down the cumulative distribution function of this approximating) random variable. 3. Use the approximation in part(b) to approximate P(Y