(1) A fair coin is tossed repeatedly with results Y0,
Y_{1}, Y_{2},... that are 0 or 1 with probability
1/2 each. For n = 1 let X_{n} = Y_{n} +
Y_{n+1} be the number of 1’s in the (n + 1)-th and nth
tosses. Is X_{n} a Markov chain?.

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