A fair coin is tossed n times let tn be the number of times
A fair coin is tossed n times. Let Tn be the number of times in the n tosses that a tail is followed by a head. Show that E[Tn] = (n - 1)/4 and E[Tn2] = (n -1)/4 + (n - 2)(n - 3)]/16. Find Var [Tn].
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