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Binomial Distribution

★★★☆☆High School

📖Definition

The binomial distribution models the number of successes in n independent trials, each with success probability p.

P(X = k) = \binomnk p^k (1-p)^n-k

Binomial PMF

E[X] = np

Expected value of binomial

Var(X) = np(1-p)

Variance of binomial

예제 1

Find P(exactly 6 heads) when flipping a coin 10 times.

Defect rate analysis

Drug efficacy analysis

Poll analysis

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