Simulating multiplying a random variable

In this exercise you'll use simulation to confirm the rule you just learned about how multiplying a random variable by a constant effects its expected value.

This exercise is part of the course

Foundations of Probability in R

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Exercise instructions

  • Simulate 100,000 draws of X, a binomial random variable with size 20 and p = .1. Save this as X
  • Use this simulation to estimate the expected value of X.
  • Use this simulation to estimate the expected value of 5*X, as well.

Hands-on interactive exercise

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

# Simulate 100,000 draws of a binomial with size 20 and p = .1
X <- ___

# Estimate the expected value of X


# Estimate the expected value of 5 * X