Answer Problem 13 under the assumption that the drunkard has some idea of where he wants to go so that he steps north with probability 2/ 3 and south with probability 1/ 3 .
Reference
A drunkard executes a “random walk” in the following way: Each minute he takes a step north or south, with probability 1/ 2 each, and his successive step directions are independent. His step length is 50 cm. Use the central limit theorem to approximate the probability distribution of his location after 1 h. Where is he most likely to be?
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