Binomial Distribution: Exploration tool
In probability theory and statistics, the binomial distribution with parameters and is the discrete probability distribution of the number of successes in a sequence of n independent experiments, each asking a yes–no question, and each with its own Boolean-valued outcome: success (with probability ) or failure (with probability ).
If the random variable follows the binomial distribution with parameters and ∈ [0, 1], we write ~ . The probability of getting exactly successes in independent Bernoulli trials (with the same rate ) is given by the probability mass function:
for
With the applet below you can explore the plot of the binomial distribution for , including the values for each .