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Exercise 3.39

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Let $X$ have a discrete uniform distribution over values $1, 2, 3, . . . 10$ . Let $Y = 11 - X$ . Then $Y$ is also discrete uniform over the same sample space, but $P (X = Y) = 0$ .

If $X$ and $Y$ are independent, then $P (X = Y) = \sum_{i \in S} P (X = i) P (Y = i) > 0$ .

fifthist

2021-12-05 00:00

Exercise 3.39

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