Question: Exercise 5.32 If X has distribution function F(x) = 1 2(1 + x2) for < x 0, 1 + 2x2 2(1

Exercise 5.32 If X has distribution function F(x) =





1 2(1 + x2)

for −∞ < x ≤ 0, 1 + 2x2 2(1 + x2)

for 0 < x < ∞, show that X is continuous and find its density function.

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