Let r.v.s X 1 and X 2 assume the same values, and their joint distribution is symmetric

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Let r.v.’s X₁ and X₂ assume the same values, and their joint distribution is symmetric in the sense that f_ij = f _ji.

(a) How will the table of joint probabilities look in this case?

(b) Do X₁,X₂ have the same marginal distributions?

(c) Can X₁,X₂ be dependent?

(d) Show that P(X₁ > X₂) = P(X₂ > X₁).

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Probability And Stochastic Modeling

ISBN: 9781439872062

1st Edition

Authors: Vladimir I. Rotar

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Question Posted: Jan 05, 2024 01:00 PM

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Let r.v.s X 1 and X 2 assume the same values, and their joint distribution is symmetric

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Probability And Stochastic Modeling

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