Define the following parameters to be used in this assignment based on your Z nu

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Define the following parameters to be used in this assignment based on your Z number te mean value of the eight digits of your Z number. a2 = the sum of the last four digits of your Z number. b = the sum of the eight digits of your Z number. e You may use any computer software of your choice to complete this assignment a standard uniform random variable may be generated using the Matlab function rand A standard Gaussian random variable may be generated by using the Matlab function randn . For each of the three continuous distributions given below, do the following (a) Generate a large number (at least $000) random variables with the given (b) Plot a histogram of the samples (properly normalized)-you may use the Matlab function "hist (c) () Compute the probability that the random variable falls in the shown intervals. (ii) Compute E(X), E(X2), and Var(X). For the simulation, note that the probabilities may be estimated as the fraction of the samples that fall in the specified intervals while the moments are estimated by the . Prob.1 (Uniform Distribution) Consider a uniform random variable with probability density function given by 0, otherwise fr(x) 1/(2b) -b -3b-b Probability t Calculation

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P Exact Calculation Simulation p(-b/4

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