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 fij = 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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