Compare the estimated pdf with a gaussian pdf

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Let  , be a sequence of IID random variables uniformly distributed over Suppose we form the sum

 

First, find the mean and variance of . Then write a MATLAB program to estimate the PDF of .

Compare the estimated PDF with a Gaussian PDF of the same mean and variance.

Over what range of  Z is the Gaussian approximation of the PDF within 1% of the true PDF? Repeat this problem for 

Reference no: EM131216343

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