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(8) You can use Matlab for this question. Consider power law distribution where the probability density function (pdf) is given by f (I) : cm:

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(8) You can use Matlab for this question. Consider power law distribution where the probability density function (pdf) is given by f (I) : cm\": where c is a constant that normalizes the pdf. (a) Calculate the value of c and find the cumulative distribution function (cdf) of power law distribution. (2 + 2) (b) Generate 2000 samples from the power law distribution using the inversion method. Basically you rst generate a sample from uniform distribution and then apply appropriate transformation to generate sample from power law distribution. (4)

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