Question: (S, 29) is a countable measuring room and I, V are probability measures on (S, 29). The total variation distance of fl and V is

(S, 29) is a countable measuring room and I, V are probability measures on (S, 29). The total variation distance of fl and V is defined as Ik u|lrv = 14(a) v(a)| TV () ) = TES 1 SC Rfinite and (Xn)neN and X is a random variable that takes value in S so that Xn = X Show that ||POX,? - Po X-!||TV +9 - a n
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