Use the probability distribution given in the table below and consider two new random variables, W= 2 + 9X and V = 3 + 5Y, to answer the following questions Joint Distribution of Weather Conditions and Commuting Times Rain (X= 0) No Rain (X= 1) 0.55 0.07 0.03 0.35 0.58 0.42 Long commute (Y = 0) Short commute (Y = 1) Total Compute the mean of W. E(W) = Total 0.62 0.38 1.00