Statistics › Section E · Continuous random variables › Topic E.1
Probability density functions
Discrete variables list values and attach probabilities; measured quantities take any value in an interval, and no list can hold them. For continuous random variables, probability becomes geometry: the chance of an interval is the area under a curve.
In this topic
- Probability becomes geometry
- Why a single value has probability 0
- The density function f(x)
- Probability as area
- Simple areas: rectangles and triangles
- Worked example: the 10-minute bus
- Worked example: a rising density
- Reading the curve critically
- Common mistakes to avoid
- Key takeaways
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