Question

The negative binomial random variable models the number of Bernoulli trials until the r^th success is achieved.

True or false?

Answer 1

We know that binomial random variable model is given as Binomial(n,p), which means sum of n Bernoulli trials with success probability p

and negative binomial random variable model is given as

Negative Binomial(r,p), which means number of Bernoulli trials until the rth success.

And, geometric distribution represents number of trials until the first success in bernoulli trials.

So, we can see that the given statement is the correct statement for the negative binomial model for a random variable.

Therefore, given statement is true.

Answer is TRUE