Statistics - binomial distribution

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4 Terms

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Uses of binomial distribution

to model situations in which: you are carrying out trials on random samples of size n; there are 2 possible outcomes, success (where probability p is fixed) and failure; trails are independent of each other

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Binomial distribution notation

X ~ B(n,p) where X is the number of successes, n is number of trials, p is probability

P(X = r) = nCr pr (1-p)n-r

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Cumulative binomial probability

the probability of a range of results, written as P(X < 5)

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Mean or expectation of a binomial distribution calculation

np