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37–48 / 73Normal distribution probability
Approximate the probability below a value (CDF error about 1.5×10⁻⁷).
Binomial probability
Compute exactly k successes and at most k successes in independent trials.
Poisson probability
Compute exactly k and at most k events for a given expected event count.
Mean confidence interval
Normal-approximation interval using a supplied z critical value; assumes independent observations.
Proportion sample size
Estimate sample size for a proportion using z²p(1−p)/e², with optional finite population correction.
Bayes probability
Calculate P(A|B) from prior P(A), P(B|A) and P(B|not A).
Union and intersection probabilities
Compute union, neither and exclusive events from P(A), P(B), and their overlap.
Expected value and risk
Calculate expectation and variance of a discrete probability distribution.
Moving average
Smooth a numeric series using complete trailing windows.
Piecewise linear interpolation
Estimate a value within increasing x data; does not extrapolate.
Data integral (trapezoidal)
Approximate area under sampled y(x) data with the trapezoidal rule.
IQR outlier detector
Flag values beyond Q1 − 1.5 IQR and Q3 + 1.5 IQR using interpolated quartiles.
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