Probability Calculator

  • Lévy Distribution Calculator
    Compute and graph the Lévy distribution: probability density f(x), lower cumulative P(x) and upper cumulative Q(x) over a range of x values you define.
  • Levy Distribution Percentile (Quantile) Calculator
    Find the percentile (quantile) x of a Levy distribution from a lower or upper cumulative probability, with location parameter mu and scale parameter c.
  • Generalized Pareto Distribution Calculator
    Compute and tabulate the Generalized Pareto Distribution: PDF, lower cumulative (CDF) and upper cumulative survival function over a sequence of x values.
  • Pareto Distribution Percentile (Quantile) Calculator
    Compute the Pareto Type I percentile (quantile) x for a lower-tail P or upper-tail Q probability given scale a and shape b by inverting the CDF.
  • Generalized Pareto Distribution Percentile (Quantile) Calculator
    Compute the percentile (quantile / inverse CDF) of the Generalized Pareto Distribution from a lower or upper cumulative probability and parameters mu, sigma, xi.
  • Pareto Distribution Calculator
    Compute the Pareto (Type I) distribution: probability density f, cumulative probability P (CDF), and survival function Q for any x, scale xm and shape alpha.
  • Pareto Distribution Calculator
    Compute the Pareto Type I distribution PDF, lower cumulative probability P(X less than or equal x), and upper cumulative probability at point x for scale xm and shape alpha.
  • Studentized Range Distribution Probability Calculator
    Compute the lower and upper cumulative probability of the studentized range distribution (Tukey q statistic) for a quantile q, sample size r, df nu and c groups.
  • Softmax Function Calculator
    Compute the softmax of an input vector online. Converts any list of real numbers into a probability distribution that sums to 1. Numerically stable.
  • Circular Permutation Table Calculator
    Generate a table of circular permutations (n-1)! for a range of n. Pure combinatorics tool with arbitrary-precision results in scientific notation.
  • Necklace Permutation Table Calculator
    Generate a table of necklace permutations (n-1)!/2 — circular arrangements counted up to rotation and reflection — for any range of n up to 100.
  • Necklace Permutation Calculator
    Calculate the number of distinct necklace (bracelet) arrangements of n objects, where rotations and reflections are identical: (n-1)!/2 with exact big-integer math.
  • Circular Permutation Calculator
    Calculate the number of distinct circular permutations of n distinct objects using (n-1)!. Exact big-integer results for arrangements around a circle.
  • Bivariate Standard Normal Distribution Calculator
    Compute the standard bivariate normal joint density f(x,y,rho) and the upper-tail orthant probability Q(x,y,rho)=P(U1>x, U2>y) for any correlation -1<rho<1.
  • Owen's T Function and V Function Calculator
    Compute Owen's T function T(h,a) and the V function V(h,a) for the bivariate standard normal distribution by accurate numerical integration.
  • Probability of Encountering a Fatal Airplane Accident
    Compute the cumulative probability of at least one fatal airplane accident if you fly daily for many years, using per-flight fatal-accident rates.
  • Dice Roll Random Number Simulator
    Roll 1 to 4 six-sided dice up to 100 times. See every roll, each die face, the grand total, the average per trial and a frequency distribution.
  • Von Mises Distribution Calculator
    Compute the von Mises (circular normal) distribution: probability density f, lower cumulative P, or upper cumulative Q for given angle x, mean mu and concentration kappa.
  • Frequency-Weighted Linear Regression Calculator
    Fit a least-squares line y = A + Bx to frequency-weighted (x, y, f) data. Get slope, intercept, Pearson correlation r, means and sums of squares.
  • Integer Uniform Random Number Generator
    Generate uniformly distributed random integers in any inclusive range. Choose how many values and whether duplicates are allowed. Free online tool.
  • Normal Distribution Percentile Point Calculator
    Find the percentile point (quantile) of a normal distribution from a lower- or upper-tail cumulative probability. Inverse normal CDF with custom mean and standard deviation.
  • Scatter Plot Generator (with Correlation)
    Plot paired (x, y) data as a scatter chart and get the Pearson correlation r, R squared, sample stats, covariance and the least-squares regression line.
  • Normal Distribution Interval Probability Calculator (two points)
    Compute probability density at two points and the inner/outer cumulative probability of a normal distribution N(mean, sd). Free, universal stats tool.
  • Linear Regression (Least Squares) Calculator
    Fit a least-squares straight line y = A + B·x to your (x, y) data. Get slope, intercept, correlation coefficient r and the fitted equation instantly.

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