Past exam of the mathematics course of the University of Oxford / 2023 / Prelims / Mathematics III / 4 / a / i

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- Solution i

Solution

The joint probability mass function is

p_{X, Y} (x, y) = P (X = x, Y = y), x, y \in S .

It is nonnegative and its sum over

S \times S

is one. Summing over one coordinate gives the other marginal probability mass function.

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