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

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

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Answer 1 · 2017-12-02T14:53:13

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Answer 2 · 2017-12-02T14:58:33

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

Explanation:

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

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

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