Let pi be the probability of being absorbed by the lower absorbing barrier when nsteps is...

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Let pi be the probability of being absorbed by the lower absorbing barrier when nsteps is very large (i.e., absorption occurs). Similarly, let på be the probability of being absorbed by the lower absorbing barrier when nsteps is very large. When -y₁ = yh, we have p₁ = Ph = 0.5. (Recall that y₁ < 0 and y₁ > 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 = yħ — y₁. Then the probability of being absorbed by the lower barrier is Pi = Y₁ is ph w Write the function sim_random_walks(yl, yh, ntries, N) which runs ntries many random walks with absorbing barriers at y = y₁ < 0 and at y = y₂ > 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? Let pi be the probability of being absorbed by the lower absorbing barrier when nsteps is very large (i.e., absorption occurs). Similarly, let på be the probability of being absorbed by the lower absorbing barrier when nsteps is very large. When -y₁ = yh, we have p₁ = Ph = 0.5. (Recall that y₁ < 0 and y₁ > 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 = yħ — y₁. Then the probability of being absorbed by the lower barrier is Pi = Y₁ is ph w Write the function sim_random_walks(yl, yh, ntries, N) which runs ntries many random walks with absorbing barriers at y = y₁ < 0 and at y = y₂ > 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?

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Algorithm of the code Import the random module for generating random numbers Define the simrandomwalks function with the following parameters yl The lower absorbing barrier position yh The higher abso... View the full answer