Question: Please Solve this question by using Matlab. errors accumulate ran 1.1.6. It's reasonable to expect that floating point during a long computation, creating what is

Please Solve this question by using Matlab.  Please Solve this question by using Matlab. errors accumulate ran 1.1.6.

errors accumulate ran 1.1.6. It's reasonable to expect that floating point during a long computation, creating what is known as a random walk. O average we expect as many errors to be negative as positive, so they tend to partially cancel out. Suppose we define a random sequence by x 0 and 4-1 1 for n 1, with the signs chosen by tossing a fair coin for each n. Let a, and B, be the average values of x, and I.,), respectively, over all such waks Then a classic result of probability is that a, 0 and (a) In MATLAB the function randn simulates drawing numbers from the normal or Gaussian distribution G.e., the bell curve) with mean zero and variance 1. Choose a unique positive integer seed value s (for example, use the last 5 digits of your phone number) and enter rng(s) to initialize the random number generator. Then the following code generates one random walk for n 10: r randn (10000,1); % draw random numbers % cumulative summation cunsum(sign(r)); We can plot every fifth number in the sequence using plot(x(1:5:end)), hold on Plot 50 such random walks all together on one graph. x (b) Perform a million random walks, computing the average values oft oe /2n/r at n-: 10000. and mooool. Compare these to " ~O and

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