# Calculating a histogram : Introductory video

#### Before watching the video read the questions below. As you watch the video try to answer them

# Questions

- Explain what the elements of the probability mass function for a discrete random variable represent.
- Write out the law of large numbers and explain what this this theorem tells us about the sum of a large number of random variables
- What is the probability mass function for the auxiliary random variables that we introduce when we calculating the histogram.
- What is the expectation equal to for the auxiliary random variables that we introduce when we calculate the histogram.
- By making reference to the law of large numbers explain why the histogram converges onto a single function when a large number of experiments are performed.