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I need help with question 4 It's in Matlab 2. Random walk is one of the primary and relatively simple random processes in which the
I need help with question 4
It's in Matlab
2. "Random walk" is one of the primary and relatively simple random processes in which the process starts from a neutral position (position = 0) and by tossing a fair coin the process (the walker) moves either one step forward (step = +1, with probability 0.5) or one step backward (step = -1, with probability 0.5). The goal is to observe the process as it progresses for large number of trials, say 100 or 1000 and observe the final position of the process (or the walker). Write the required Matlab script to simulate a single random walk process for 100 steps. The following delineates the kernel script. This must include an appropriate output plot with marker on. Position = 0; for n = 1: Num_step % generate the random step of +1 or -1. end % Use "cumsum function to complete Position from the generated steps. % Plot the single random walk process with marker and appropriate labels. 3. Repeat the random walk process of previous section for an ensemble of say 5 simultaneous processes. Plot the ensemble of the processes on the same figure (use "hold on). Change the graph color of each process for better representation. Ask the user to enter the number of processes to be simulated interactively if you wish so. Include your script and the plot in your report. Notice that you can create a matrix of the number of processes (Num_walks) to be its columns and the number of steps (Num_steps) to be its rows and plot the matrix versus the steps generated as: n = 1: Num_steps; 4. Compute the crossing time (required steps) of the point +15 for each of the random walks in part 3, which is the step number at which the random walk reached either +15 or -15 if ever. Find the average of crossing time of all random walks (Use more processes for this section, at least 20). Notice that some of the walks may not reach the designated crossing point and should not be included in simple averaging. 2. "Random walk" is one of the primary and relatively simple random processes in which the process starts from a neutral position (position = 0) and by tossing a fair coin the process (the walker) moves either one step forward (step = +1, with probability 0.5) or one step backward (step = -1, with probability 0.5). The goal is to observe the process as it progresses for large number of trials, say 100 or 1000 and observe the final position of the process (or the walker). Write the required Matlab script to simulate a single random walk process for 100 steps. The following delineates the kernel script. This must include an appropriate output plot with marker on. Position = 0; for n = 1: Num_step % generate the random step of +1 or -1. end % Use "cumsum function to complete Position from the generated steps. % Plot the single random walk process with marker and appropriate labels. 3. Repeat the random walk process of previous section for an ensemble of say 5 simultaneous processes. Plot the ensemble of the processes on the same figure (use "hold on). Change the graph color of each process for better representation. Ask the user to enter the number of processes to be simulated interactively if you wish so. Include your script and the plot in your report. Notice that you can create a matrix of the number of processes (Num_walks) to be its columns and the number of steps (Num_steps) to be its rows and plot the matrix versus the steps generated as: n = 1: Num_steps; 4. Compute the crossing time (required steps) of the point +15 for each of the random walks in part 3, which is the step number at which the random walk reached either +15 or -15 if ever. Find the average of crossing time of all random walks (Use more processes for this section, at least 20). Notice that some of the walks may not reach the designated crossing point and should not be included in simple averaging Step by Step Solution
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