The Normal Approximation to the Binomial
Explore the cumulative probability of a binomial distribution and how it compares to the normal curve.
Adjust the slider to explore different number of trials and the probability of success. Click on "Show Normal Curve" to compare. Move the blue point on the graph along the x axis to compute different probabilities.
Exploration Questions:
What happens to the distribution as you increase the number of trials?
What happens to the distribution as you decrease the number of trials?
What happens to the distribution as you increase the probability of success?
What happens to the distribution as you decrease the probability of success?
How do the cumulative probabilities of the binomial distribution compare to the cumulative probabilities of the normal approximation? When are they similar? When are they different? Why?