Suppose X is a random variable taking on possible values 2,4,6 with respective probabilities .3, .6, and .1. Y is a random variable independent from X taking on possible values 1,2,3 with respective probabilities .6, .3, and .1. Use R to determine the following. 3) Find the probability P(X*Y = 6) b) Find the expected value of X. c) Find the variance of X. d) Find the expected value of Y. e) Find the variance of Y. 1') Find the expected value of X*Y. (i.e. X times Y) 9) Find the expected value of 4X - 3Y. h) Find the variance of 4X - 3Y i) Find the expected value of Y\