Simulating from a Poisson and a binomial

If we were flipping 100,000 coins that each have a .2% chance of coming up heads, you could use a Poisson(2) distribution to approximate it. Let's check that through simulation.

This exercise is part of the course

Foundations of Probability in R

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Exercise instructions

Generate 100,000 draws from the Binomial(1000, .002) distribution. Save it as binom_sample.
Generate 100,000 draws from the Poisson distribution that approximates this binomial distribution, using the rpois() function. Save it as poisson_sample.
Compare the two distributions with the compare_histograms() function. (Remember that this takes two arguments: the two samples that are to be compared).

Hands-on interactive exercise

Have a go at this exercise by completing this sample code.

# Draw a random sample of 100,000 from the Binomial(1000, .002) distribution
binom_sample <- 

# Draw a random sample of 100,000 from the Poisson approximation
poisson_sample <- 

# Compare the two distributions with the compare_histograms function

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