Let pi be the probability of being absorbed by the lower absorbing barrier when nsteps is very large (i.e., absorption occurs). Similarly, let p be the probability of being absorbed by the lower absorbing barrier when nsteps is very large. When -y = yh, we have p = Ph = 0.5. (Recall that y < 0 and y > 0; if they are the same distance from y = 0, they're equally likely to absorb a random walk.) hand by the higher barrier the probability More generally, let w = y y. Then the probability of being absorbed by the lower barrier is Pi = Y is ph w Write the function sim_random_walks(yl, yh, ntries, N) which runs ntries many random walks with absorbing barriers at y = y < 0 and at y = y > 0, and returns the pair (p, p) which estimates the values of p, and ph respectively. Set the default value of N, the number of steps per walk, to a very large number so that absorption is very likely. How do you count the random walks that don't get absorbed? Try sim_random_walks(-5, 5, ntries) with increasingly large number of tries. Do your probability estimates appear to converge to p, and Ph?