5.17 Let the discrete random variables X and Y have density P(X = i, Y = j)...

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5.17 Let the discrete random variables X and Y have density P(X = i, Y = j) = 1 i(i + 1), for i = j ∈ {1, 2,... }, and 0 everywhere else. Show that E[Y] = ∞ while E[Y | X] < ∞.

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Probability And Stochastic Processes

ISBN: 9780470624555

1st Edition

Authors: Ionut Florescu

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Question Posted: Nov 05, 2024 08:00 AM

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5.17 Let the discrete random variables X and Y have density P(X = i, Y = j) = 1 i(i + 1), for i = j {1, 2,... }, and 0 everywhere else. Show that E[Y] = while E[Y | X] < .
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5.17 Let the discrete random variables X and Y have density P(X = i, Y = j)...

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Probability And Stochastic Processes

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