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Probability Distributions: Discrete vs. Continuous

Probability Distributions: Discrete vs. Continuous All Probability distributions can be classified as Discrete Probability distributions or as Continuous Probability distributions, depending on whether they define probabilities associated with Discrete variables or Continuous variables. Discrete vs. Continuous Variables If a variable can take on any value between two specified values, it is called a Continuous variable; otherwise, it is called a Discrete variable. Some examples will clarify the difference between Discrete and Continuous variables.

Note: The shaded area in the graph represents the probability that the random variable X is less than or equal to a.This is a cumulative probability. However, the probability that X is exactly equal to awould be zero. A continuous random variable …

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