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.