Question: Example 3.7 Suppose that X and Y are random variables each taking the values 1, 2, or 3, and that the probability that the pair

Example 3.7 Suppose that X and Y are random variables each taking the values 1, 2, or 3, and that the probability that the pair (X, Y ) equals (x, y) is given in Table 3.1 for all relevant values of x and y.

Then, for example, P(X = 3) = P(X = 3, Y = 1) + P(X = 3, Y = 2) + P(X = 3, Y = 3)

= 1 6 + 5 18 + 1 12 = 19 36 .

Similarly, P(Y = 2) = 1 18 + 0 + 5 18 = 1 3 . △

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