Question: A drunk is stumbling down the street. With each step he has a 0.3 probability of going 4 inches forward and a 0.7 probability of

A drunk is stumbling down the street. With each step he has a 0.3 probability of going 4 inches forward and a 0.7 probability of going 8

inches forward.

(a) Suppose he takes 10,000 steps. What is the probability he's traveled a mile?

(b) Suppose he takes one step every 3 seconds, and travels for an indefinite amount of time. What is the probability he his average

speed is at least 11 feet/minute? Justify.

(c) At least 12 feet/minute? Justify.

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