# Question: A random variable is equally likely to take on any

A random variable is equally likely to take on any integer value in the set {0, 1, 2, 3}.

(a) Sketch the CDF of X fx (x).

(b) Write fx (x) analytically in terms of unit step functions.

(a) Sketch the CDF of X fx (x).

(b) Write fx (x) analytically in terms of unit step functions.

## Relevant Questions

A certain discrete random variable has a CDF given by (a) Find the probability mass function, px (k), of this random variable. (b) For a positive integer n, (X ≥ n) find . (c) For two positive integers, n1and n2, such ...Suppose X is a binomial random variable with parameters n and p . That is, the PMF of X is given by Find the PMF of a new random variable generated through the transformation, Y= n–X. Suppose X is an integer- valued random variable. Show that in this case, ϕX( 2πn) = 1 for any integer, n . Likewise, prove the reverse is also true. That is, show that if ϕX( 2πn) = 1 for any integer, n , the random ...Two players compete against each other in a game of chance where Player A wins with probability 1/ 3 and Player B wins with probability 2/ 3. Every time Player A loses he must pay Player B $ 1, while every time Player B ...A random variable has a moment- generating function given by (a) Find the PDF of the random variable. (b) Use the moment- generating function to find an expression for the k th moment of the random variable.Post your question