1. Are these statements true or false? Give reasons or counterexamples for each case. (a) [A is a nonmeasurable set in 9] => [P(A) =
1. Are these statements true or false? Give reasons or counterexamples for each case. (a) [A is a nonmeasurable set in 9] => [P(A) = U] [2 points] (b) [X i Y] => [1E[X"] = ]E[Y"] w: e Z] [3 points] (c) Periodic Markov chains have no stationary distribution. [2 pts]
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