Understand the concepts of a probability density function, cumulative distribution function, and probabilities associated with a continuous random variable given by integrals; examine simple types of continuous random variables and use them in appropriate contexts.

mm-u4-t3-s1-d2

2 interactives — choose one

PDF area is probability

manipulative

Scrub an interval on a continuous pdf — P(a ≤ X ≤ b) is the shaded area under a recognisable density.

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The cdf is running area under the pdf

manipulative

Drag x on a stacked pdf and cdf — F(x) is the area under f to the left of x, so the cdf height equals that running integral.

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Want a different take?

Already have one and want another angle on this point? Describe what students should notice. Requests are read and acted on.