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What is a Probability Distribution?

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A probability distribution is a function that describes the possible values of a random variable and their associated probabilities. This is essentially a graph that predicts the results of a set of experiments over a large sample space.
Probability distributions are a key approach to machine learning and artificial intelligence whereby probability models enable reasoning based on probabilistic inference.
Overview: Probability Distribution
Function
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Definition
An equation or table that links an observation with the probability of its occurrence.
Value
A fundamental tool of statistical analysis
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