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Probability Distribution

Definition

A probability distribution shows all possible values of a random variable and their corresponding probabilities.

Analogy

Imagine you have different colored marbles in a bag. The probability distribution would be like listing out all the colors of marbles along with their respective probabilities of being picked when blindly selecting one from the bag.

Related terms

Random Variable: A random variable is used to represent the outcomes of an event or experiment.

Expected Value: The expected value of a probability distribution is the average value that we expect to obtain over many repetitions of an experiment.

Cumulative Distribution Function (CDF): The CDF gives us the probability that our random variable takes on a value less than or equal to some specified value.

"Probability Distribution" appears in:

Practice Questions (3)

  • Which of the following is an example of estimating a probability distribution with a simulation?
  • What is the shape of the probability distribution of a geometric random variable?
  • How can the shape of a graph of a discrete random variable provide insights into its underlying probability distribution?


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© 2024 Fiveable Inc. All rights reserved.

AP® and SAT® are trademarks registered by the College Board, which is not affiliated with, and does not endorse this website.