Number of times in the n tosses that a tail

Reference no: EM131834547

A fair coin is tossed n times. Let T_n be the number of times in the n tosses that a tail is followed by a head. Show that E[T_n] = (n - 1)/4 and E[T_n²] = (n -1)/4 + (n - 2)(n - 3)]/16. Find Var [T_n].

Reference no: EM131834547

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