Question: Suppose a drunken sailor at position 0 takes a step either right or left with equal probability (both 0.5). ?3 ?2 ?1 0 1 2

Suppose a drunken sailor at position 0 takes a step either right or left with equal probability (both 0.5). ?3 ?2 ?1 0 1 2 3 . . . . . . Compute the expected end position of the sailor after (a) 5 steps (b) 10 steps (c) 50 steps (d) 1000 steps (e) What do you think the expected end position of the sailor is after infinitely many steps?

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