Question: (Some of the parts requires coding in Python) (a) Let X be a random variable with density fx and CDF Fx, and let Fyl be

(Some of the parts requires coding in Python)

(Some of the parts requires coding in Python) (a)

(a) Let X be a random variable with density fx and CDF Fx, and let Fyl be inverse function of Fx. Show that for the uniform distribution U over [0, 1], the distribution of the random variable Fx'(U) is the same as that of X. Note that F='(U) is the inverse function of Fx applied to U. (b) Consider Slal 121

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