# Geometric Random Variables

I need some help learning how to apply the normal approximation in this question:

Suppose that Yn for NB(n,p). Give a normal approximation for P(Yn<y) for large n.

Hint: Yn is distributed as the sum of n independent geometric random variables. Use the negative binomial distribution (see attached file for better formula representation).

https://brainmass.com/statistics/probability/geometric-random-variables-59787

#### Solution Summary

This solution contains step-by-step calculations on how to conduct a normal approximation for P(Yn<y) for a large n.

$2.19