Statistics and Probability Glossary
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Negative Binomial Random Variable
A negative binomial random variable is the number X of
repeated trials to produce r successes in a
negative binomial experiment
.
Suppose we flip a coin repeatedly and count the number of heads (successes).
If we continue flipping the coin until it has landed 2 times on heads, we
are conducting a negative binomial experiment. The negative
binomial random variable is the number of coin flips required to achieve
2 heads. In this example, the random variable can take on any integer value between 2 and
plus infinity.
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