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Question Number 116083 by Joel574 last updated on 30/Sep/20
$$\mathrm{Given}\:{X}\:\mid\:\Theta=\theta\:\backsim\:{Uniform}\left(\mathrm{0},\theta\right)\:\mathrm{and}\: \\ $$$$\Theta\:\backsim\:{Uniform}\left(\mathrm{20},\mathrm{40}\right). \\ $$$$\mathrm{Find}\:\mathrm{the}\:\mathrm{cdf}\:\mathrm{of}\:{X},\:\:{F}_{{X}} \left({x}\right)\:\mathrm{for}\:{x}\in\left[\mathrm{0},\mathrm{20}\right)\:\mathrm{and}\:{x}\in\left[\mathrm{20},\mathrm{40}\right) \\ $$