Determine and use the probabilities 𝑃(𝑋 = 𝑟) = (𝑛 𝑟)𝑝𝑟(1 − 𝑝)𝑛−𝑟 associated with the binomial distribution with parameters 𝑛 and 𝑝.

mm-u3-t5-s3-d3

Interactive

Binomial P(X = r) as choose-then-weight

manipulative

P(X = r) is the number of ways to place r successes among n trials, each weighted by p^r (1−p)^{n−r}.

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