L3 Discrete Random Variables

Abud-Darda (radiallahu anh) reported: The Messenger of Allah (salallahu alayhi wa sallam) said, "He who follows a path in quest of knowledge, Allah will make the path of Jannah easy to him. The angels lower their wings over the seeker of knowledge, being pleased with what he does. The inhabitants of the heavens and the earth and even the fish in the depth of the oceans seek forgiveness for him. The superiority of the learned man over the devout worshipper is like that of the full moon to the rest of the stars (i.e., in brightness). The learned are the heirs of the Prophets who bequeath neither dinar nor dirham but only that of knowledge; and he who acquires it, has in fact acquired an abundant portion.'' [Abu Dawud and At-Tirmidhi]

Lecture 3: Commonly Used Discrete Random Variables

The goal of this lecture is to introduce some theoretical random variables which are commonly used to model certain types of real world situations. The student should learn the correspondence between different types real world situations and the probability models used for approximating them.

Concepts Covered in this Lecture

1. Uniform Random Variables

2. Binomial Random Variables

3. Binomial Calculations

4. General Finite Discrete RV's

5. Poisson Distribution