Question: see image: (a) Let X, Y be discrete random variables taking values in N. A common way to measure the distance between two probability distributions

see image:

(a) Let X, Y be discrete random variables taking values in N. A common way to measure the "distance" between two probability distributions is known as the total variation norm, and it is given by d ( x , Y ) = = [ IP(X =k) -P(Y = k)|. Show that d (X, Y)

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