Question: Use the probability distribution given in the table below and consider two new random variables, W= 2 + 5X and V=6+9Y, to answer the

Use the probability distribution given in the table below and consider twonew random variables, W= 2 + 5X and V=6+9Y, to answer the

Use the probability distribution given in the table below and consider two new random variables, W= 2 + 5X and V=6+9Y, to answer the following questions Compute the mean of W Joint Distribution of Weather Conditions and Commuting Times Rain (X = 0) No Rain (X-1) Total Long commute (Y= 0) 0.12 0.25 0.37 Short commute (Y= 1) Total 0.40 0.23 0.63 0.52 0.48 1.00 E(W)= Compute the mean of V (Round your response to two decimal places) E(V)- (Round your response to two decimal places) Compute the variance of W (Round your response to four decimal places) Compute the variance of V. = (Round your response to four decimal places)

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