Question: Problem 4.77 Let X = tanU, where U is uniformly distributed on the interval [/2, /2]. (a) Show that FX(x) = 1 2 + 1

Problem 4.77 Let X = tanU, where U is uniformly distributed on the interval [−π/2, π/2].

(a) Show that FX(x) = 1 2 + 1 π arctan x. (b)Show that fX(x) = 1 π(1 + x2 .

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