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Summary An overview on the Discrete Random Variable

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This document will give an overview of what a discrete random variable is

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August 31, 2022
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2022/2023
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Introduction


1. Definition: Random Variable



A random variable is the numerical description of the desired outcome of a
statistical experiment.




Example: (Desired Outcome) (Statistical experiment)

X= number of heads obtained in four tosses of a balanced coin


 A random variable that may assume only a finite number or an infinite sequence
of values is said to be discrete (Specific number). These tend to be whole
numbers as the value is obtained by counting




 One that may assume any value in some interval on the real number line is said
to be continuous. (Between two numbers). These tend to be fractions as
the value is obtained by measuring

, 2. Definition: Probability Distribution

Discrete probability distribution is a type of probability distribution that shows all
possible values of a discrete random variable along with the associated
probabilities




IMPORTANT
1. The probability of a Discrete function is called a probability mass function
2. The probability of a Continuous function is called a probability density
function (…..This will be discussed later)
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