A large number of holes at a particular point start to migrate through a semiconductor that has no external field. After each collision with a lattice site, a hole is equally likely to go in any direction. Such collisions occur roughly 1013 times per second, and the hole goes an average of 3 × 10−10 m between collisions. Using the hints in problem, calculate for motion in any one dimension the average distance traveled and the standard deviation after (a) one step, (b) one second.
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