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8 results for “binomial”

Formulae (7)

(a+b)^n = \sum_{k=0}^{n} \binom{n}{k} a^{n-k} b^k

Expands any power of a binomial into a sum of terms.

(a \pm b)^2 = a^2 \pm 2ab + b^2

Expands the square of a binomial.

(a+b)^3 = a^3 + 3a^2b + 3ab^2 + b^3

Expands the cube of a binomial expression.

(a+b)(c+d) = ac + ad + bc + bd

Multiply two binomials: First, Outer, Inner, Last.

(a+b)^3 = a^3 + 3a^2b + 3ab^2 + b^3

Expansion of a binomial raised to the third power.

P(X=k) = \binom{n}{k}p^k(1-p)^{n-k}

Probability of k successes in n trials.

P(X=k) = \binom{n}{k} p^k (1-p)^{n-k}

Probability of k successes in n independent trials.

Multiply two binomials by combining First, Outer, Inner, Last terms.