 Solution

ID: past-exam-of-the-year-1-of-the-computer-science-course-of-the-university-of-oxford/2023/discrete-mathematics-probability-and-continuous-mathematics/7/a/i/solution

p_{X, Y} (x, y) = P (X = x, Y = y)

for

(x, y) \in S^{2}

. It is nonnegative and its sum over

S^{2}

equals one. Summing over one coordinate gives the other variable's marginal distribution.

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