Generating negative binomial random variables

We have one final type of random variable to learn how to generate using python - the negative binomial random variable. If you remember the negative binomial random variables measures the number of trials I have to perform in order to obtain exactly k successes. A negative binomial random variables can be generated by generating k geometric random variables and adding them together.

To complete the exercise you will need to:

• Write a function called bernoulli that takes in a parameter called p. This parameter gives the probability that the trial is successful - and that the function thus returns a 1

• Use your bernoulli function in a second function called geometric. This geometric function should take one parameter p (the probability of success in each individual trial). The function should then return a geometric random variable.

• Write one final function called negative_binomial. This negative_binomial function should take two parameters: p (the probability of success in each individual trial) and k (the number of successes that you would like to observe). The function should then return a negative binomial random variable.