Geometric & Negative Binomial Distributions

Understand geometric and negative-binomial waiting times with explicit trials-versus-failures conventions. Practice exact probabilities, tail events, memorylessness, expected waits, variability, conditional progress and retry limits. Prerequisites: independent Bernoulli trials, binomial counts and basic moments. Challenges examine changing success chances and hidden mixtures without relying on untaught calculus.

Further reading:

• Kyle Siegrist: Geometric distribution
• Kyle Siegrist: Negative binomial distribution

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