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Consider the one-dimensional random walk we discussed in class. Recall thatzi(n) denotedthe position of particleiafternsteps and...

Consider the one-dimensional random walk we discussed in class. Recall thatzi(n) denotedthe position of particleiafternsteps and that〈z(n)〉denoted the average position of many suchparticles that were initially at the origin. The step size is±δ. Using a similar approach to the onewe took in class:(a) Calculate〈z3(n)〉= the average of (z(n))3(b) Calculate the value of〈z4(n)〉forn= 0,1,2,and 3

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