Derive the expression for variance of the continuous uniform

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Derive the expression for variance of the continuous uniform probability distribution (we derived the expression for mean in class). Show your work. Using genunifc.c from the Christensen tools page generate 1 million samples with a = 1.0 and b = 10.0. Find the mean and variance of the samples (that is, the experimental mean and variance). Compute the relative error of the experimental mean and variance compared to the theory mean and variance (that is, as calculated from the derived expressions)? Hint: the program summary1.c from the Christensen tools page can be used to compute summary statistics for a series of values (be sure to read the header in the program to learn how to use it!).

Reference no: EM13541225

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