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i=1 Consider the random walk stochastic process Sn = So + Xi, where So = 0, and the independent identically distributed (iid) X; are the modified Bernoulli random variables taking values 2 and -1 with proba- bilities p and 1-p, respectively. a. Calculate E[Sn] and Var[Sn] and variance definition or formula. using the expectation b. Derive the generating function of this random walk Gs, (s). c. Use the generating function directly to calculate E[Sn] Var[Sn] and hence re-confirm the results in question la. , and d. Sketch the plot of the discrete pdf, and discuss its relation to the normal distribution for p = 0.5

i=1 Consider the random walk stochastic process Sn = So + Xi, where So = 0, and the independent identically distributed (iid) X; are the modified Bernoulli random variables taking values 2 and -1 with proba- bilities p and 1-p, respectively. a. Calculate E[Sn] and Var[Sn] and variance definition or formula. using the expectation b. Derive the generating function of this random walk Gs, (s). c. Use the generating function directly to calculate E[Sn] Var[Sn] and hence re-confirm the results in question la. , and d. Sketch the plot of the discrete pdf, and discuss its relation to the normal distribution for p = 0.5

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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i=1 Consider the random walk stochastic process Sn = So + Xi, where So = 0, and the independent identically distributed (iid) X; are the modified Bernoulli random variables taking values 2 and -1 with proba- bilities p and 1-p, respectively. a. Calculate E[Sn] and Var[Sn] and variance definition or formula. using the expectation b. Derive the generating function of this random walk Gs, (s). c. Use the generating function directly to calculate E[Sn] Var[Sn] and hence re-confirm the results in question la. , and d. Sketch the plot of the discrete pdf, and discuss its relation to the normal distribution for p = 0.5
Transcribed Image Text:i=1 Consider the random walk stochastic process Sn = So + Xi, where So = 0, and the independent identically distributed (iid) X; are the modified Bernoulli random variables taking values 2 and -1 with proba- bilities p and 1-p, respectively. a. Calculate E[Sn] and Var[Sn] and variance definition or formula. using the expectation b. Derive the generating function of this random walk Gs, (s). c. Use the generating function directly to calculate E[Sn] Var[Sn] and hence re-confirm the results in question la. , and d. Sketch the plot of the discrete pdf, and discuss its relation to the normal distribution for p = 0.5
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