How would you solve the below? Rounded to nearest two decimal places. Use the probability distribution given in the table below and consider two new random variables, W = 2+ 8X and V = 9 + 5Y, 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)	0.36	0.02	0.38
Short commute (Y = 1)	0.38	0.24	0.62
Total	0.74	0.26	1.00

1) Compute the mean of W. E(W) =

2) Compute the mean of V. E(V) =

3) Compute the variance of W. =

4) Compute the variance of V. =

5) Compute the covariance between W and V =

6) Compute the correlation between W and V =