# What is a discrete probability distribution? What two conditions determine a probability distribution?

Dec 2, 2017

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#### Explanation:

Dec 2, 2017

$\text{A discrete pdf is a pdf of a discrete variable like the number of eyes thrown by a dice.}$
$\text{The sum of all probabilities is 1 and the probabilities are ">=" 0.}$

#### Explanation:

$\text{A discrete variable has a finite number of distinct values.}$
$\text{Like the eyes thrown by a dice : 1,2,3,4,5, or 6.}$
$\text{The discrete pdf for a dice throw is :}$
$\text{P[ X = k ] = 1/6 , k = 1,2,...,5,6.}$
$\text{The pdf for the amount of rainfall in a month e.g. is not}$
$\text{discrete because there is no upper limit and the values}$
$\text{are continuous.}$