Pjsjur = 9=1-p. -final Randoon walks Consider a random walk on the integers, with transition probs Pjijt =p Gambler's roin For p=2/3, use a computer to estimate P[Tos 10,000] PET , ie, the probability that you go bankrupt starting with $1, in at most 10000 steps. Please show your source code, and express your answer as a statistical confidence interval b) Continuing from part (a): Now solve exactly for PCTo coo], as a function of p. (I'll post a hint on the website.) Also solve for Pl Toroo]. c) For the unbiased case, p='2, use a computer to estimate [X. where Xt is the state at time t land X=o). Plot answer as a function of n. Guess the dependence on n. (pou do not need to prove your answer. max Listen your