Statistics › Section D · Discrete random variables › Topic D.4
The geometric distribution
The binomial model fixes the number of trials and counts the successes. Flip the question - keep rolling, calling, testing until the first success arrives - and the count of trials itself becomes the random variable. That is the geometric distribution.
In this topic
- How long until the first success?
- The geometric setting
- The geometric formula
- The mean: 1/p
- Memorylessness
- Worked example: the first six, exactly and within
- Worked example: sales calls
- Shape: always skewed right
- Common mistakes to avoid
- Key takeaways
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