Binomial distribution

Binomial distribution
A binomial experiment possesses the following properties:

The experiment consists of n identical Bernoulli trials.

Each trial results in one of two outcomes: one outcome is called success, S, and the other failure, F.

The probability of success on a single trial is equal to p and remains the same from one trial to the next. The probability of a failure is equal to q = 1 - p. The trials are independent.

The random variable of interest is Y, which is the number of successes observed during the n trials.

A success is not necessarily good in the everyday sense of the word. As an example, Y could be the total number of heads when two coins are tossed.

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Statistics for Health Researchers

Binomial Coin Experiment
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BinomialCoinExperiment.xhtml