Use the probability distribution given in the table below and consider two new random variables, W= 2 + 6X and V=9+5Y, to answer the following questions Joint Distribution of Weather Conditions and Commuting Times Rain (X = 0) No Rain (X1) Total Long commute (Y = 0) 0.43 0.11 0.54 Short commute (Y= 1) Total 0.15 0.31 0.46 0.58 0.42 1.00 Compute the mean of W. Compute the mean of V. Compute the variance of W. E(W) = 4.52 (Round your response to two decimal places) E(V) = 11.3 (Round your response to two decimal places) (Round your response to four decimal places) Compute the following probabilities: If Y is distributed N (2,4), Pr (Y≤4) = 0.8413. (Round your response to four decimal places.) If Y is distributed N (3,4), Pr (Y> 2) = ☐. (Round your response to four decimal places.)