Calculate the mean 𝑛𝑝 and variance 𝑛𝑝(1 − 𝑝) of a binomial distribution using technology and algebraic methods.

mm-u3-t5-s3-d4

Interactive

Why binomial mean np and variance np(1−p)

manipulative

The binomial centre is np; the spread np(1−p) peaks at p = 1/2 and collapses at p = 0 or 1.

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