Use the probability distribution given in the table below to answer the following questions Compute the mean of Y. Joint Distribution of Weather Conditions and Commuting Times Rain (X=0) No Rain (X'=1) Total Long commute (Y =0) 0.29 0.25 0.54 Short commute (Y =1) 0.39 0.07 0.46 Total 0.68 0.32 1.00 Em=[_] (Round your response to two decimal places) Compute the mean of Y. EM = (Round your response to two decimal places) Compute the mean of X. E (X) = (Round your response to two decimal places) Compute the variance of X. Enter your answer in each of the answer boxes. ox = 0 (Round your response to four decimal places) Compute the variance of Y. of = 0 (Round your response to four decimal places) Compute the covariance of X and Y. OXY = (Round your response to four decimal places) Compute the correlation of X and Y. corr( X, Y) = (Round your response to four decimal places)