Density of the Poisson distribution
In this exercise you'll find the probability that a Poisson random variable will be equal to zero by simulating and using the dpois() function, which gives an exact answer.
This exercise is part of the course
Foundations of Probability in R
Exercise instructions
- Simulate 100,000 draws from a Poisson distribution with a mean of 2.
- Use this simulation to estimate the probability that a draw from this Poisson distribution will be 0.
- Find the exact probability that a draw from a Poisson(2) distribution is zero, using the
dpois()function.
Hands-on interactive exercise
Have a go at this exercise by completing this sample code.
# Simulate 100,000 draws from Poisson(2)
poisson_sample <-
# Find the percentage of simulated values that are 0
# Use dpois to find the exact probability that a draw is 0