Compute a particle undergoing a random walk on the x axis, starting from the x=0. At each step, the particle is equally likely to move right or left by distance s.
1. Determine the farthest the particle can move in the +x direction? Explain the probability of this occurring?
2. Determine the probability the particle will be at the x=0 after 20steps?
3. Determine the probability the particle is at x, after 20 steps.