Statistics › Section E · Continuous random variables › Topic E.2
The uniform distribution
The simplest story in probability is equal likelihood - every value as likely as every other. A fair die, a lottery draw, a bus equally likely to arrive anywhere in its window: uniform distributions model them all, in a discrete version for lists and a continuous version for intervals.
In this topic
- Flat chance
- The discrete uniform
- The continuous uniform
- Probabilities as fractions of the window
- Mean and spread
- Worked example: the 20-minute bus
- Worked example: a vending machine
- Where uniform appears - and fails
- Common mistakes to avoid
- Key takeaways
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