Mathematics category

Probability calculators

Chance models, event relationships and distributions.

242 calculators in this category. Page 4 of 6.

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Probability

Markov Mean Recurrence Interval: solve stationary state probability

Rearrange the markov mean recurrence interval relationship and solve for stationary state probability.

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Probability

Markov Mean Recurrence Interval: solve unit recurrence scale

Rearrange the markov mean recurrence interval relationship and solve for unit recurrence scale.

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Probability

Branching-Process Expected Next Generation

Calculate expected next-generation count from current population count and mean offspring number.

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Probability

Branching-Process Expected Next Generation: solve current population count

Rearrange the branching-process expected next generation relationship and solve for current population count.

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Probability

Branching-Process Expected Next Generation: solve mean offspring number

Rearrange the branching-process expected next generation relationship and solve for mean offspring number.

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Probability

Markov Detailed-Balance Flow Residual

Calculate detailed-balance residual from forward stationary transition flow and reverse stationary transition flow.

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Probability

Markov Detailed-Balance Flow Residual: solve forward stationary transition flow

Rearrange the markov detailed-balance flow residual relationship and solve for forward stationary transition flow.

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Probability

Markov Detailed-Balance Flow Residual: solve reverse stationary transition flow

Rearrange the markov detailed-balance flow residual relationship and solve for reverse stationary transition flow.

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Probability

Absorbing-Chain Probability Remainder

Calculate unassigned absorption probability from unit total absorption probability and sum of known absorbing-state probabilities.

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Probability

Absorbing-Chain Probability Remainder: solve unit total absorption probability

Rearrange the absorbing-chain probability remainder relationship and solve for unit total absorption probability.

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Probability

Absorbing-Chain Probability Remainder: solve sum of known absorbing-state probabilities

Rearrange the absorbing-chain probability remainder relationship and solve for sum of known absorbing-state probabilities.

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Probability

Observed Renewal Event Rate

Calculate renewal events per unit time from completed renewal count and observation duration.

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Probability

Observed Renewal Event Rate: solve completed renewal count

Rearrange the observed renewal event rate relationship and solve for completed renewal count.

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Probability

Observed Renewal Event Rate: solve observation duration

Rearrange the observed renewal event rate relationship and solve for observation duration.

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Probability

Cumulative Hazard from Survival Probability

Calculate cumulative hazard from unit logarithmic scale and survival probability.

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Probability

Cumulative Hazard from Survival Probability: solve unit logarithmic scale

Rearrange the cumulative hazard from survival probability relationship and solve for unit logarithmic scale.

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Probability

Cumulative Hazard from Survival Probability: solve survival probability

Rearrange the cumulative hazard from survival probability relationship and solve for survival probability.

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Probability

Normal Bayesian Posterior Precision

Calculate posterior precision from prior precision and data likelihood precision contribution.

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Probability

Normal Bayesian Posterior Precision: solve prior precision

Rearrange the normal bayesian posterior precision relationship and solve for prior precision.

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Probability

Normal Bayesian Posterior Precision: solve data likelihood precision contribution

Rearrange the normal bayesian posterior precision relationship and solve for data likelihood precision contribution.

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Probability

Bayesian Data Precision Weight Percentage

Calculate data precision weight percentage from data likelihood precision contribution and posterior total precision.

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Probability

Bayesian Data Precision Weight Percentage: solve data likelihood precision contribution

Rearrange the bayesian data precision weight percentage relationship and solve for data likelihood precision contribution.

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Probability

Bayesian Data Precision Weight Percentage: solve posterior total precision

Rearrange the bayesian data precision weight percentage relationship and solve for posterior total precision.

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Probability

Posterior Probability from Odds

Calculate posterior probability from posterior odds in favour and unit odds baseline.

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Probability

Posterior Probability from Odds: solve posterior odds in favour

Rearrange the posterior probability from odds relationship and solve for posterior odds in favour.

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Probability

Posterior Probability from Odds: solve unit odds baseline

Rearrange the posterior probability from odds relationship and solve for unit odds baseline.

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Probability

Bayesian Posterior Mean Shift

Calculate posterior mean shift from posterior parameter mean and prior parameter mean.

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Probability

Bayesian Posterior Mean Shift: solve posterior parameter mean

Rearrange the bayesian posterior mean shift relationship and solve for posterior parameter mean.

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Probability

Bayesian Posterior Mean Shift: solve prior parameter mean

Rearrange the bayesian posterior mean shift relationship and solve for prior parameter mean.

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Probability

Exponential-Distribution Mean Lifetime

Calculate mean lifetime from unit time-rate scale and positive event rate.

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Probability

Exponential-Distribution Mean Lifetime: solve unit time-rate scale

Rearrange the exponential-distribution mean lifetime relationship and solve for unit time-rate scale.

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Probability

Exponential-Distribution Mean Lifetime: solve positive event rate

Rearrange the exponential-distribution mean lifetime relationship and solve for positive event rate.

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Probability

Exponential-Distribution Median Lifetime

Calculate median lifetime from natural logarithm of two and positive event rate.

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Probability

Exponential-Distribution Median Lifetime: solve natural logarithm of two

Rearrange the exponential-distribution median lifetime relationship and solve for natural logarithm of two.

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Probability

Exponential-Distribution Median Lifetime: solve positive event rate

Rearrange the exponential-distribution median lifetime relationship and solve for positive event rate.

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Probability

Geometric-Distribution Mean Trials to Success

Calculate expected trials including success from unit trial scale and success probability per trial.

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Probability

Geometric-Distribution Mean Trials to Success: solve unit trial scale

Rearrange the geometric-distribution mean trials to success relationship and solve for unit trial scale.

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Probability

Geometric-Distribution Mean Trials to Success: solve success probability per trial

Rearrange the geometric-distribution mean trials to success relationship and solve for success probability per trial.

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Probability

Weibull Cumulative Hazard

Calculate cumulative hazard from time-to-scale positive ratio and weibull shape parameter.

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Probability

Weibull Cumulative Hazard: solve time-to-scale positive ratio

Rearrange the weibull cumulative hazard relationship and solve for time-to-scale positive ratio.

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Probability

Weibull Cumulative Hazard: solve Weibull shape parameter

Rearrange the weibull cumulative hazard relationship and solve for weibull shape parameter.

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Probability

Weibull Survival from Cumulative Hazard

Calculate survival probability from unit initial survival and weibull cumulative hazard.

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Probability

Weibull Survival from Cumulative Hazard: solve unit initial survival

Rearrange the weibull survival from cumulative hazard relationship and solve for unit initial survival.

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Probability

Weibull Survival from Cumulative Hazard: solve Weibull cumulative hazard

Rearrange the weibull survival from cumulative hazard relationship and solve for weibull cumulative hazard.

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Probability

Queue Service-Capacity Rate Slack

Calculate service-rate slack from total service capacity rate and arrival rate.

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Probability

Queue Service-Capacity Rate Slack: solve total service capacity rate

Rearrange the queue service-capacity rate slack relationship and solve for total service capacity rate.

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Probability

Queue Service-Capacity Rate Slack: solve arrival rate

Rearrange the queue service-capacity rate slack relationship and solve for arrival rate.

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Probability

M/M/1 Queue Idle Probability

Calculate server idle probability from unit probability total and traffic intensity rho.

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