Random Number Generator - Binomial Distribution

The Binomial distribution describes the number of successes in t independent Bernoulli (yes or no) trails with probability p of success on each trial. It is used to answer questions such as how many times a head will come up when a coin is flipped 5 times or how many defective items will be found in 20 items.

The following example shows input and output from 3 simulations. Each simulation has the probability (of success) and number of trial set as (0.4, 10), (0.5, 50), and (0.8, 100), respectively. All three simulations have 50,000 iterations and alpha of 5% (for 1 tail test).

The output shows the estimate of skewness, mean, stand deviation, maximum value, minimum value, lower confidence interval, and upper confidence interval from each of the 3 simulations. The simulated means (3.99, 25, and 80) closely represent the theoretical means (p * t) from each of the simulations.