Suppose X is a random variable with with expected value = 172 and standard deviation = Let X1, X2, X 289 be a random sample of 289 observations from the distribution of X. Let X be the sample mean. Use R to determine the following: a) Find the approximate probability P(X > 24.3) b) What is the approximate probability that X1 + x2 + +X 289 >7000 c) Copy your R script for the above into the text box here. 3