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Binomial Distributions and Probability

P(X successes in 'n' trials): P(X=a) = nCa x p^a x q^(n-a)

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Binomial Distributions and Probability
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Vocabulary

binomial distribution

binomial distribution

A binomial distribution is a distribution produced by an experiment with 2 possible outcomes, where there is a fixed number of successes in X (random variable) trials, and each trial is independent of the others.
factorial function

factorial function

A function that involves multiplying a series of consecutive descending natural numbers, denoted by !. It is used to calculate a binomial distribution.
factorial notation

factorial notation

A factorial function is a function that involves multiplying a series of consecutive descending natural numbers. A factorial is denoted by !.
standard deviation

standard deviation

The square root of the variance is the standard deviation. Standard deviation is one way to measure the spread of a set of data.
variance

variance

A measure of the spread of the data set equal to the mean of the squared variations of each data value from the mean of the data set.

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