Question: For the logistic distribution show (a) F(x) is a valid distribution function. (b) The density function is f (x) exp(x)/ 1exp(x) 2

For the logistic distribution show

(a) F(x) is a valid distribution function.

(b) The density function is f (x) Æ exp(¡x)/

¡

1Åexp(¡x)

¢2

Æ F(x) (1¡F(x)).

(c) The density f (x) is symmetric about zero.

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