Let the RV X have the density function 32 fx(x) = (x + 4) 3 = x 20. (a) Find the inverse distribution function F82 of X

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Let The Rv X Have The Density Function 32 Fx X X 4 3 X 20 A Find The Inverse Distribution Function F82 Of X 1 (117.41 KiB) Viewed 556 times

Let the RV X have the density function 32 fx(x) = (x + 4) 3 = x 20. (a) Find the inverse distribution function F82 of X [3 marks]. Hint 1: find the distribution function Fx(x) = fx(u)du. . Hint 2: when deriving inverse distribution function F82 you will find two candidate solutions, but only one of these satisfies x > 0. (b) Using the inverse method and the results from (a), generate a sample Xx~X, k €{1,2,...,105} and calculate the sample mean [3 marks].