Binomial distribution

The applet below allows one to simulate values from a binomial distribution. Specify the parameters for the binomial distribution (n and p) and the number of values to be simulated (N). When you click the Simulate button, N values from the specified binomial distribution will be plotted to the right. The frequency of each outcome is shown in the plot. Things to try with the applet:

Using the applet, estimate the probability of an outcome being less than or equal to 4 for a binomial distribution with n = 10 and p = 0.5. Compare the estimate to the true value. How does N impact the estimate?

Compare the distributional shapes of 1000 outcomes simulated from a binomial distribution with n = 10 and p = 0.1 to 1000 outcomes from a binomial distribution with n = 100 and p = 0.5.