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A particle moves along the following graph so that at each step it is equally likely to move to any of its neighbors 2 n-1n Starting at 0 show that the expected number of steps it takes to reach n is n (Hint Let T, denote the number of steps it takes to go from vertex to vertex i, i1,. , n Determine E[T,] recursively, first for i = 1, then i = 2, and so on.)
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