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)

0.31

0.13

0.44

Short commute (Y= 1)

0.08

0.48

0.56

Total

0.39

0.61

1.00

Compute the mean of Y.

E(Y) =

nothing

(Round your response to two decimal places)

Compute the mean of X.

E(X) =

nothing

(Round your response to two decimal places)

Compute the variance of X.

2X =

nothing

(Round your response to four decimal places)

Compute the variance of Y.

2Y =

nothing

(Round your response to four decimal places)

Compute the covariance of X and Y.

XY =

nothing

(Round your response to four decimal places)

Compute the correlation of X and Y.

corr(X,Y) =

nothing