A bunch of “digital drunks” can only take steps of (+1, 0, −1) meters in the x direction. A…

A bunch of “digital drunks” can only take steps of (+1, 0, −1) meters in the x direction. A strong wind is blowing, so the probabilities are not symmetrical, being given by P(−1) = 0.3, P(0) = 0.2, P(+1) = 0.5. What are the average distance gone and the standard deviation for

(a) one step,

(b) 400 steps?

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(c) What is the ratio σ/ for one step and for 400 steps?

 

 

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