a) Produce Fig. 1.2.1 of the main text for N=4. Evaluate the corresponding proabibilities for m in terms of p and q, their values for p = q = 1/2, and the quantity (p+q)⁴ without using Eq. (1.2.7).
b) Evaluate explicitly the averages of n2, m=n1-n2, and m². You can take for granted the text's averages of n1 and n1².

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N is the total number of steps with N=n_1+n_2    (n_1 is the total number of steps to the right)

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