Binomial Distribution


This applet illustrates the Binomial distribution. There are two sliders bar which allow changing the number of trials and the probability of success of the distribution. Note how changing these parameters alters the shape and the center of the distribution. Also note that this distribution is only valid for nonnegative integer numbers up to the number of trials in the sample.

Since the distribution is defined in terms of integers, the cumulative distribution function has steps instead of a continuous curve. The density has probability that masses at integer values with no probability for the real numbers between the integers. It is for this reason that we call discrete probability density functions probability mass functions.

Several statistics are shown for the distribution below the illustration of the density and distribution plots.

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