. Let X be a finite random variable on (2, F,P) (i.e., P(X = ∞) = P(X = -x) = 0). Show that itsdistribution function Fx satisfies the following properties:(a) Fx is non-decreasing.(b) lim,- Fx(x) = 0, and lim, +∞ Fx(x) = 1.

Given information: It is given that X be a finite random variable on the sample space.

Answered: Let X be a finite random variable on…

A First Course in Probability (10th Edition)

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Let X be a finite random variable on (N, F, P) (i.e., P(X = ∞) = P(X = -x) = 0). Show that its distribution function Fx satisfies the following properties: (a) Fx is non-decreasing.