// multi-utility computation suite · offline · instant · precise
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math.stats-binomial Calculator
Calculates exact binomial probabilities P(X = k), cumulative probabilities, and the expected value and variance of a binomial distribution. The binomial distribution models the number of successes in n independent Bernoulli trials — coin flips, quality control, medical trials.
Inputs
N
Reference formula or conversion factor shown for context.
K
Reference formula or conversion factor shown for context.
P
Reference formula or conversion factor shown for context.
Results
C(n,k)
Sample size or count used in the calculation.
P(X=k)
Reference formula or conversion factor shown for context.
mean np
Arithmetic average — sum divided by count. Simple and familiar, but pulled by outliers. If your data contains extreme values, the median may be more representative.
\u03c3
Reference formula or conversion factor shown for context.
risk rating
A standardised quality or risk rating on the applicable scale.