Question: Use MATLAB to solve the following: Consider the random variable X = [(Ui - 12) 12 i=1, where the Ut's are uniform random variables.

Use MATLAB to solve the following: Consider the random variable X = [ (Ui - 12) 12 i=1, where the Ui's are

Use MATLAB to solve the following: Consider the random variable X = [(Ui - 12) 12 i=1, where the Ut's are uniform random variables. 6.1 Write a MATLAB code to estimate (use 1,000 trials) the PDF (probability distribution function) of X and to compute the Gaussian PDF px(x) = 1 2e - 12x2. 6.2 Plot the estimated PDF and overlay the Gaussian PDF plot. Submit the plot. 6.3 Try increasing the number of trials from a thousand to a million. What do you see?

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