Use the probability distribution given in the table below and consider two new random variables, W =5+9X and V =3+8Y, 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)	0.09	0.29	0.38
Short commute (Y = 1)	0.55	0.07	0.62
Total	0.64	0.36	1

1) Compute the mean of W. E(W)=? (Round to two decimals)

2) Compute the mean of V. E(V)=? (Round to two decimals)

3) Compute the variance of W. variance(W)=? (Round to FOUR decimals)

4) Compute the variance of V. variance(V)=? (Round to FOUR decimals)

5)Compute the covariance of W and V. (Round to FOUR decimals)

6)Compute the correlation of W and V (Round to FOUR decimals)