Question

2. A drunk starts out from a lamppost in the middle of a street. Suppose that...

2. A drunk starts out from a lamppost in the middle of a street. Suppose that p=1/2, q=1/2 and N=10. The length of each step is l=1.00 meters.

a. What are the possible numbers of steps to the right? n1=….

b. What are the possible values for m?

c. Calculate the probability of taking n1=0 steps to the right?

d. Calculate the probability of taking n1=4 steps to the right?

e. Sketch the probability distribution: Probability v. Number of steps to right

f. Sketch the “Probability vs. Position” distribution. (sketch – do not give me precise values).

g. Calculate the mean number of steps to the right.

h. Calculate the mean displacement.

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