6. Suppose y(0) = 0; that is, y = 0 at time t = 0. The position of y(n) depends probabilistically on its time at time n-1: y(n) = y(n-1)+1 with probability and y(n) y(n-1) 1 with probability. This is called a random walk and has many applications in biology, engineering, finance, etc. a) (12 points) What is the (approximate) probability that y(10) = 0? b) (3 points) Suppose n is an odd number. What is the approximate probability that y(n) 0? Why is that?