Exercise

Sum of two Poisson variables

One of the useful properties of the Poisson distribution is that when you add multiple Poisson distributions together, the result is also a Poisson distribution.

Here you'll generate two random Poisson variables to test this.

Instructions

100 XP

Simulate 100,000 draws from the Poisson(1) distribution, saving them as X.
Simulate 100,000 draws separately from the Poisson(2) distribution, and save them as Y.
Add X and Y together to create a variable Z.
We expect Z to follow a Poisson(3) distribution. Use the compare_histograms function to compare Z to 100,000 draws from a Poisson(3) distribution.