mean and variance of negative binomial distribution
Understand the Problem
The question is asking for the mean and variance of the negative binomial distribution, which are specific statistical measures needed to understand this probability distribution.
Answer
Mean: rq / p, Variance: rq / p^2
The mean is rq / p and the variance is rq / p^2.
Answer for screen readers
The mean is rq / p and the variance is rq / p^2.
More Information
The Negative Binomial distribution is useful for modeling the number of failures before a specified number of successes in a sequence of independent and identically distributed Bernoulli trials.
Tips
A common mistake is mixing up the parameters r and p, leading to incorrect calculations.
Sources
- Mean and Variance of Negative Binomial Distribution – MathWorks - nl.mathworks.com
- Negative binomial distribution – Wikipedia - en.wikipedia.org
- Correct formulas for the mean and variance of negative binomial – Stack Exchange - stats.stackexchange.com
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