Binomial frequency distribution as a function of X Î {int 0 ... n}

p and q 0 £ p £ q £ 1 q = 1 – p two types of object or event.

Factorials 0! = 1 n! = n(n-1)!

Combinatorics (C= # subsets of size X are possible from a set of total size of n)

n!

X!(n-X)! = C(n,X)

B(X) = C(n, X) pX qn-X m = np s2 = npq

(p+q)n = å B(X) = 1

B(X: 350, n: 700, p: 0.1) = 1.53148×10-157

=PDF[ BinomialDistribution[700, 0.1], 350] Mathematica

~= 0.00 =BINOMDIST(350,700,0.1,0) Excel

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