- Fraction Calculator
- Matrix Calculator
- Slope Calculator
- Algebra Calculator
- Trigonometry Calculator
- Percentage Calculator
- Probability Calculator
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Generalized Pareto Distribution CalculatorCompute and tabulate the Generalized Pareto Distribution: PDF, lower cumulative (CDF) and upper cumulative survival function over a sequence of x values.
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Pareto Distribution CalculatorCompute 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.
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Necklace Permutation Table CalculatorGenerate a table of necklace permutations (n-1)!/2 — circular arrangements counted up to rotation and reflection — for any range of n up to 100.
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Probability Between Two Z-Scores CalculatorEnter lower and upper z-scores to get the area under the standard normal curve between them, plus left and right tail probabilities.
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Necklace Permutation CalculatorCalculate the number of distinct necklace (bracelet) arrangements of n objects, where rotations and reflections are identical: (n-1)!/2 with exact big-integer math.
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Circular Permutation Table CalculatorGenerate a table of circular permutations (n-1)! for a range of n. Pure combinatorics tool with arbitrary-precision results in scientific notation.
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Circular Permutation CalculatorCalculate the number of distinct circular permutations of n distinct objects using (n-1)!. Exact big-integer results for arrangements around a circle.
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Owen's T Function and V Function CalculatorCompute Owen's T function T(h,a) and the V function V(h,a) for the bivariate standard normal distribution by accurate numerical integration.
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Dice Roll Random Number SimulatorRoll 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.
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Normal Distribution Random Number Generator (Box-Muller Method)Generate pseudo-random numbers from a normal (Gaussian) distribution with your chosen mean and standard deviation using the Box-Muller transform.
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Von Mises Distribution CalculatorCompute 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.
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Frequency-Weighted Linear Regression CalculatorFit 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.
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Integer Uniform Random Number GeneratorGenerate uniformly distributed random integers in any inclusive range. Choose how many values and whether duplicates are allowed. Free online tool.
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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.
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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.
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Linear Regression (Least Squares) CalculatorFit 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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Bivariate Standard Normal Distribution CalculatorCompute 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.
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Gacha Complete-Collection Expected Number of Draws CalculatorCalculate the expected number of gacha pulls or capsule-toy draws to collect every item in a set, using the Coupon Collector formula E(n)=n*H(n).
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Birthday Paradox Probability Table CalculatorBuild a birthday paradox table: for each group size n, see the probability that at least one pair shares a birthday. Find where it crosses 50%.
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Binomial Distribution CalculatorCompute binomial probability mass f(x,n,p), lower cumulative P(X≤x), upper cumulative P(X≥x) and the mean n·p for x successes in n trials.
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Binomial Distribution Percentile Point CalculatorInvert the binomial CDF for B(n, p): enter a lower P or upper Q cumulative probability, trials n and success probability p to find the percentile point x.
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Binomial Distribution CalculatorCompute and graph the binomial distribution: probability mass f(x), lower cumulative P(X<=x), and upper cumulative Q(X>=x) for n trials at probability p.
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Binomial Coefficient CalculatorCalculate the binomial coefficient C(n,k) — "n choose k" — using the formula n! / (k!(n−k)!). Find combinations instantly with a worked example.
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Hybrid Lognormal Distribution (PDF / CDF) CalculatorCompute the hybrid lognormal distribution HybLogN(rho x, mu, sigma): density f(x), lower cumulative P(x) and upper cumulative Q(x), tabulated over a range.