A researcher uses binomial distribution to observe a specified number of successful outcomes in a set number of trials. The expected value is calculated by multiplying the number of trials by the probability of successes. Binomial distribution theorem was propounded by a Swiss mathematician, Jacob Bernoulli in 1700. A researcher would carry out a repeated experiment which either yields a success or failure. The occurrence of failure or success in the experiment has no pattern.
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Binomial distribution also known as Bernoulli distribution, is a probability distribution that determines the chance of success or failure occurring in an experiment. It is greatly applied in many disciplines such as business and social sciences to describe a wide variety of processes. Binomial distribution has three main attributes;
Pattern or shape of the binomial distribution
The standard deviation which measures the dispersion of the binomial distribution
The mean of the binomial distribution which is denoted by (nP)
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