P3) A random sample of size in; X1, ,X,l is an i.i.d. sequence of random variables, each with expected value ElXi) = 2.5. and variance var(Xi) = 4,i = 1, ...,n. a- How many samples n are needed to guarantee that the variance of the sample mean, X, is no more than 0.04?[5 points] [1- Use the Central Limit Theorem (CLT) to estimate P(X > 3), the probability that the sampie mean of 16 samples (n=16}, exceeds 3? [5 points]