Problem 4.6 Consider the function F(x)=1/(1+ exp(-2)), - < 1 <0.

(a) Show that F(x) satisfies Equations 4.4, 4.5, and 4.6 and is therefore a continuous distribution function. (This is an example of a logistic distribution.)

(b) Show that F(-2)=1- F(x), z0. This means that P(X -r) = P(X1), x0.

(c) Compute the pdf f(x) F'(x) and show that f(x) = f(x), that is, its graph is symmetric about the origin. ==