TABLE 2.2 IS ATTACHED
Use the probability distribution given in Table 2.2 to compute (a) E(Y) and E(X); (b) Ï?2x and Ï?2Y; and (c) Ï?XY and corr(X,Y).
First, we calculate E(Y) and E(X). Expectation equals the sum of each value of the outcome times the chance of that outcome occurring.
E(Y) = 0.22 X 0 + 0.78 X 1 = 0.78
E(X) = 0.3 X 0 + 0.7 X 1 = 0.7.
Next, variance = the sum of probability X (the state of x - the mean of x)^2
Var(Y) = ...