content area Part 1 Use the probability distribution given in the table below and consider two new random variables, W = 9 + 8X and V = 6 + 3Y, to answer the following questions Joint Distribution of Weather Conditions and Commuting Times Rain (X = 0) No Rain (X = 1) Total Long commute (Y = 0) 0.03 0.33 0.36 Short commute (Y = 1) 0.29 0.35 0.64 Total 0.32 0.68 1.00 Part 2 Compute the mean of W. Upper E left parenthesis Upper W right parenthesis = 14.44 (Round your response to two decimal places) Part 3 Compute the mean of V. Upper E left parenthesis Upper V right parenthesis = 7.92 (Round your response to two decimal places) Part 4 Compute the variance of W. sigma Subscript Upper W Superscript 2 = 13.9264 (Round your response to four decimal places) Part 5 Compute the variance of V. sigma Subscript Upper V Superscript 2 = 2.0736 (Round your response to four decimal places) Part 6 Compute the covariance between W and V. sigma Subscript WV = enter your response here (Round your response to four decimal places)