TABLE 2.2 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) air and 0%; and (c) O'Xy and corr(X, Y)