Lesson 38 of 48
Continuous distributions and PDFs
Probability when the outcomes cannot be counted.
On a continuum, any single outcome has probability zero — probability lives in intervals, as area under a density. Getting that straight prevents a decade of confused statistics.
Do this
Verify numerically that a probability density integrates to one. Then compute an interval's probability two ways: by integrating the density and by sampling.
The question that unlocks the next lesson
For a continuous distribution, what is the probability of exactly one specific value?
- AEqual to the density at that point
- BZero — probability is area, and a single point has no width
- COne divided by the number of outcomes
- DUndefined