Consider a random 1D walk of n equal steps of length originating at zero. (a) What

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Consider a random 1D walk of n equal steps of length λ originating at zero.

(a) What is the probability of deviating by 4λ from the origin in 4 steps? 

(b) Construct a table of probabilities of reaching points −nλ ... + nλ for up to n = 4. 

(c) Calculate the variance (i.e. the mean squared deviation from the mean) and its root after 4 steps of unit length.

(d) Derive a formula for the variance σn2 after n steps of length λ and for its root σn.

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Solid State Materials Chemistry

ISBN: 9780521873253

1st Edition

Authors: Patrick M. Woodward, Pavel Karen, John S. O. Evans, Thomas Vogt

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