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Continuous Probability Distributions
Mathematics · Grade 12 · Probability Distributions · Term 3

Continuous Probability Distributions

Transition from discrete to continuous random variables, where outcomes can take any value within a range. Understand how probability is represented by the area under a probability density function curve.

Ontario Curriculum ExpectationsOntario Curriculum, Grade 12, MDM4U: Probability Distributions - Recognize and identify a continuous random variable and a continuous probability distribution.

About This Topic

Transition from discrete to continuous random variables, where outcomes can take any value within a range. Understand how probability is represented by the area under a probability density function curve.

Key Questions

  1. Explain why the probability of a continuous random variable equalling a single specific value is zero.
  2. Analyse the properties of a probability density function, such as the total area under the curve being equal to one.
  3. Compare the method of finding probabilities for a continuous distribution (area) with the method for a discrete distribution (summation).

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Edited by Adriana Perusin, Editor-in-Chief, Flip Education