Joint Distribution of Weather Conditions and Commuting Times
Rain (X=0) No Rain (X=1) Total
|
Long Commute (Y=0)
|
0.15
|
0.07
|
0.22
|
|
Short Commute (Y=1)
|
0.15
|
0.63
|
0.78
|
|
Total
|
0.30
|
0.70
|
1.00
|
Use the probability distribution given in Table 2.2 to compute (a) E(Y) and E(X); (b) σ2x and σ2Y; and (c) σXY and corr(X,Y).