Mathematics category

Probability calculators

Chance models, event relationships and distributions.

242 calculators in this category. Page 3 of 6.

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Probability

Normalized Mutual Information Percentage: solve mutual information

Rearrange the normalized mutual information percentage relationship and solve for mutual information.

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Probability

Normalized Mutual Information Percentage: solve selected entropy normalization

Rearrange the normalized mutual information percentage relationship and solve for selected entropy normalization.

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Probability

Variation of Information

Calculate variation of information from conditional entropy h(x|y) and conditional entropy h(y|x).

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Probability

Variation of Information: solve conditional entropy H(X|Y)

Rearrange the variation of information relationship and solve for conditional entropy h(x|y).

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Probability

Variation of Information: solve conditional entropy H(Y|X)

Rearrange the variation of information relationship and solve for conditional entropy h(y|x).

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Probability

Jensen–Shannon Entropy Gap

Calculate jensen-shannon divergence from mixture-distribution entropy and weighted component-entropy mean.

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Probability

Jensen–Shannon Entropy Gap: solve mixture-distribution entropy

Rearrange the jensen–shannon entropy gap relationship and solve for mixture-distribution entropy.

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Probability

Jensen–Shannon Entropy Gap: solve weighted component-entropy mean

Rearrange the jensen–shannon entropy gap relationship and solve for weighted component-entropy mean.

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Probability

Source Coding Efficiency Percentage

Calculate coding efficiency percentage from source entropy per symbol and average code length per symbol.

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Probability

Source Coding Efficiency Percentage: solve source entropy per symbol

Rearrange the source coding efficiency percentage relationship and solve for source entropy per symbol.

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Probability

Source Coding Efficiency Percentage: solve average code length per symbol

Rearrange the source coding efficiency percentage relationship and solve for average code length per symbol.

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Probability

Source Code Redundancy per Symbol

Calculate redundancy per symbol from average code length per symbol and source entropy per symbol.

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Probability

Source Code Redundancy per Symbol: solve average code length per symbol

Rearrange the source code redundancy per symbol relationship and solve for average code length per symbol.

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Probability

Source Code Redundancy per Symbol: solve source entropy per symbol

Rearrange the source code redundancy per symbol relationship and solve for source entropy per symbol.

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Probability

Channel Capacity Utilization Percentage

Calculate capacity utilization percentage from reliable information rate and channel capacity.

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Probability

Channel Capacity Utilization Percentage: solve reliable information rate

Rearrange the channel capacity utilization percentage relationship and solve for reliable information rate.

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Probability

Channel Capacity Utilization Percentage: solve channel capacity

Rearrange the channel capacity utilization percentage relationship and solve for channel capacity.

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Probability

Min-Entropy from Maximum Probability

Calculate min-entropy in nats from logarithm unit scale and maximum outcome probability.

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Probability

Min-Entropy from Maximum Probability: solve logarithm unit scale

Rearrange the min-entropy from maximum probability relationship and solve for logarithm unit scale.

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Probability

Min-Entropy from Maximum Probability: solve maximum outcome probability

Rearrange the min-entropy from maximum probability relationship and solve for maximum outcome probability.

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Probability

Effective Outcomes from Collision Probability

Calculate effective outcome count from collision probability and unit reciprocal scale.

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Probability

Effective Outcomes from Collision Probability: solve collision probability

Rearrange the effective outcomes from collision probability relationship and solve for collision probability.

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Probability

Effective Outcomes from Collision Probability: solve unit reciprocal scale

Rearrange the effective outcomes from collision probability relationship and solve for unit reciprocal scale.

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Probability

Bhattacharyya Distance from Coefficient

Calculate bhattacharyya distance from logarithm unit scale and positive bhattacharyya coefficient.

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Probability

Bhattacharyya Distance from Coefficient: solve logarithm unit scale

Rearrange the bhattacharyya distance from coefficient relationship and solve for logarithm unit scale.

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Probability

Bhattacharyya Distance from Coefficient: solve positive Bhattacharyya coefficient

Rearrange the bhattacharyya distance from coefficient relationship and solve for positive bhattacharyya coefficient.

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Probability

Total Correlation Multi-Information

Calculate total correlation from sum of marginal entropies and joint entropy.

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Probability

Total Correlation Multi-Information: solve sum of marginal entropies

Rearrange the total correlation multi-information relationship and solve for sum of marginal entropies.

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Probability

Total Correlation Multi-Information: solve joint entropy

Rearrange the total correlation multi-information relationship and solve for joint entropy.

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Probability

Little's Law Average System Population

Calculate average number in system from effective arrival or throughput rate and mean time spent in system.

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Probability

Little's Law Average System Population: solve effective arrival or throughput rate

Rearrange the little's law average system population relationship and solve for effective arrival or throughput rate.

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Probability

Little's Law Average System Population: solve mean time spent in system

Rearrange the little's law average system population relationship and solve for mean time spent in system.

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Probability

Queue Traffic Intensity

Calculate traffic intensity from arrival rate and total service capacity rate.

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Probability

Queue Traffic Intensity: solve arrival rate

Rearrange the queue traffic intensity relationship and solve for arrival rate.

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Probability

Queue Traffic Intensity: solve total service capacity rate

Rearrange the queue traffic intensity relationship and solve for total service capacity rate.

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Probability

Wald Random-Sum Expectation

Calculate expected random-sum total from expected number of summed terms and expected value of each term.

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Probability

Wald Random-Sum Expectation: solve expected number of summed terms

Rearrange the wald random-sum expectation relationship and solve for expected number of summed terms.

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Probability

Wald Random-Sum Expectation: solve expected value of each term

Rearrange the wald random-sum expectation relationship and solve for expected value of each term.

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Probability

Count-Process Dispersion Index

Calculate variance-to-mean dispersion index from observed count variance and observed count mean.

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Probability

Count-Process Dispersion Index: solve observed count variance

Rearrange the count-process dispersion index relationship and solve for observed count variance.

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Probability

Count-Process Dispersion Index: solve observed count mean

Rearrange the count-process dispersion index relationship and solve for observed count mean.

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Probability

Two-Component Series-System Reliability

Calculate series-system reliability from first component reliability and second component reliability.

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Probability

Two-Component Series-System Reliability: solve first component reliability

Rearrange the two-component series-system reliability relationship and solve for first component reliability.

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Probability

Two-Component Series-System Reliability: solve second component reliability

Rearrange the two-component series-system reliability relationship and solve for second component reliability.

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Probability

Two-Component Parallel-System Reliability

Calculate parallel-system reliability from first component reliability and second component reliability.

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Probability

Two-Component Parallel-System Reliability: solve first component reliability

Rearrange the two-component parallel-system reliability relationship and solve for first component reliability.

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Probability

Two-Component Parallel-System Reliability: solve second component reliability

Rearrange the two-component parallel-system reliability relationship and solve for second component reliability.

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Probability

Markov Mean Recurrence Interval

Calculate mean recurrence interval from stationary state probability and unit recurrence scale.

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