Use the probability distribution given in the table below 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) 0.33 0.02 0.35 Short commute (Y= 1) 0.41 0.24 0.65 Total 0.74 0.26 1.00 Compute the mean of Y. E(Y) = 0.65' (Round your response to two decimal places) Compute the mean of X. E (X) = .26 (Round your response to two decimal places) Compute the variance of X. oi = .1924 (Round your response to four decimal places) Compute the variance of K 2 _ ' a Y 0.2275 (Round your response to four decimal places) Compute the covariance ofX and Y V (Round your response to four decimal places) Compute the correlation of X and Y. corr(X,Y) = 0.3394' (Round your response to four decimal places)