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  3. Foundations of Probability in R

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.