# Joint Distribution

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).

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#### Solution Preview

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) = ...

#### Solution Summary

Joint Distribution

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