Suppose X is a Normal random variable with with expected value 7.11 and standard deviation 2.15. We take a random sample of size n from the distribution of X. Let )7 be the sample mean. Use R to determine the following: a) Find the probability P(X< 7) b) Find the probability P()_( < 7) when n = 4 c) Find the probability P()_( < 7) when n = 16 d) Find the probability P(6.5 <)_( < 7.5) when n = 16 e) Find the standard deviation of)? when n = 49 f) Find the probability that X1 + X2 + +X100 > 700