EXPLORE BY TASK
Probability Tools
36 tools in this collection. Choose a task below or search the complete FeuTex toolkit.
Browse all tools
Arcsine Bounded Interval Probability
Calculate probability between two points under the U-shaped arcsine distribution.
Open tool →ProbabilityBeta Distribution Moments
Inspect a beta distribution’s mean, variance and skewness on the unit interval.
Open tool →ProbabilityBinary Entropy Profile
Calculate uncertainty, perplexity and success information for a Bernoulli probability.
Open tool →ProbabilityBirthday Collision Estimate
Estimate collision probability and expected matching pairs for independent draws from equal-probability categories.
Open tool →ProbabilityBurr XII Tail Distribution
Explore two-shape tail probabilities for positive continuous data.
Open tool →ProbabilityCantelli One-Sided Tail Bound
Bound a one-sided deviation from the mean using variance alone.
Open tool →ProbabilityCauchy Distribution Profile
Evaluate Cauchy cumulative probability, density and interquartile range without undefined moments.
Open tool →ProbabilityChebyshev Coverage Guarantee
Bound the fraction outside a selected distance from the mean using only finite variance.
Open tool →ProbabilityCoupon Collection Expectation
Calculate the expected draw count and variance needed to collect every uniformly distributed coupon type.
Open tool →ProbabilityExponential Lifetime Profile
Calculate survival probability, cumulative probability and typical waiting times under constant hazard.
Open tool →ProbabilityFrechet Maximum Tail Model
Evaluate heavy-tailed maxima using a Frechet shape and scale.
Open tool →ProbabilityGambler Ruin Hitting Probability
Find the probability that a bounded random walk reaches its upper boundary before zero.
Open tool →ProbabilityGamma Distribution Moments
Inspect a gamma distribution’s mean, variance, skewness and excess kurtosis using shape and scale.
Open tool →ProbabilityGeneralized Pareto Threshold Exceedance
Estimate excess-tail probability and a return-level quantile above a selected threshold.
Open tool →ProbabilityGeometric Waiting-Time Probability
Calculate exact and cumulative waiting probabilities before the first successful trial.
Open tool →ProbabilityGumbel Maximum Distribution
Evaluate a Gumbel maximum distribution’s cumulative probability, median and variance.
Open tool →ProbabilityHoeffding Mean Deviation Bound
Bound sample-mean deviations for independent observations with known finite limits.
Open tool →ProbabilityKumaraswamy Bounded Probability
Evaluate a flexible continuous probability model for a quantity bounded between zero and one.
Open tool →ProbabilityLaplace Distribution Profile
Evaluate Laplace cumulative probability, density and variance from location and scale.
Open tool →ProbabilityLog-Logistic Lifetime Model
Calculate a log-logistic survival curve and instantaneous hazard at a chosen age.
Open tool →ProbabilityLogistic Distribution Profile
Evaluate logistic cumulative probability, density and variance from location and scale.
Open tool →ProbabilityLognormal Moment Profile
Find a lognormal model’s median, mean, variance and mode from natural-log parameters.
Open tool →ProbabilityMarkov Nonnegative Tail Bound
Bound exceedance probability for a nonnegative random quantity from its expected value.
Open tool →ProbabilityNo-Fixed-Point Assignment Count
Count assignments with no item in its original position and calculate their random-permutation probability.
Open tool →ProbabilityPareto Tail Profile
Calculate Pareto exceedance probability and finite moments for a heavy-tailed model.
Open tool →ProbabilityPoisson Event Window
Estimate the probabilities of no events, one event or multiple events in a constant-rate window.
Open tool →ProbabilityRandom Bin Occupancy
Estimate occupied, empty and singleton bins after independent uniform assignments.
Open tool →ProbabilityRayleigh Distribution Profile
Evaluate Rayleigh density, cumulative probability, mean and variance for a nonnegative magnitude.
Open tool →ProbabilitySampling Without Replacement
Estimate the mean, variance and feasible success range when sampling without replacement.
Open tool →ProbabilityTrials until Multiple Successes
Estimate trial count and variability required to reach multiple independent successes.
Open tool →ProbabilityTriangular Distribution Profile
Evaluate cumulative probability and moments for a minimum-mode-maximum triangular distribution.
Open tool →ProbabilityTwo-Group Exponential Survival
Model survival when a population contains two latent groups with different constant rates.
Open tool →ProbabilityTwo-State Markov Equilibrium
Calculate long-run state proportions and persistence for a two-state transition process.
Open tool →ProbabilityUniform Distribution Interval
Find interval probability, mean and variance for a bounded uniform distribution.
Open tool →ProbabilityWeibull Lifetime Profile
Evaluate Weibull survival, failure probability, instantaneous hazard and median lifetime.
Open tool →ProbabilityZero-Inflated Poisson Count Model
Estimate zero frequency and overdispersion when a count process has structural zeros.
Open tool →