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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) 0.27 0.21 0.48 Short commute (Y = 1) 0.47 0.05 0.52 Total 0.74 0 26 1.00 Compute the mean of Y. EM =0 (Round your response to two decimal places) Compute the mean of X. E (XX) =0 (Round your response to two decimal places) Compute the variance of X. of = 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. 5XY = (Round your response to four decimal places) Compute the correlation of X and Y. corr(X, Y) = (Round your response to four decimal places) inter your answer in each of the answer boxes