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) Total 0.39 0.07 0.46 0.68 0.32 1.00 E(Y)= (Round your response to two decimal places) Compute the mean of Y. Compute the mean of X. Compute the variance of X. Enter your answer in each of the answer boxes. Compute the variance of Y. E(Y)=[ (Round your response to two decimal places) E(X) = (Round your response to two decimal places) 0x = [ (Round your response to four decimal places) (Round your response to four decimal places) Compute the covariance of X and Y. (Round your response to four decimal places) Compute the correlation of X and Y. corr(X,Y) = | (Round your response to four decimal places)