A biased-random walk is random process in which at each step a particle can jump to left with probability l-p and to the right with probability p. where p is a parameter.
a. Calculate the mean and the variance in the position of a particle after N steps, assuming that the particle is undergoing biased random walk. Your answers should depend on N and p. (Hint: Use the method discussed for unbiased random walk. See lecture 8 slide 20)
b. calculate the values of mean and the variance for the cases N = 10. p = 0 and N = 10, p =