Exponential Distribution Calculator

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✖Probability of Non Occurrence of Any Event is the compliment of the fraction of the chance of the union of three given events completing successfully.ⓘ Probability of Non Occurrence of Any Event [P_{((A∪B∪C)')}]			+10% -10%
✖Probability of Occurrence of Exactly One Event is the fraction of the chance of the intersection of any one of the three given events completing successfully and the other two events not completing.ⓘ Probability of Occurrence of Exactly One Event [P_{(AB'C' ∩ A'BC' ∩ A'B'C)}]			+10% -10%

✖Probability of Occurrence of Atleast Two Events is the fraction of chance of union of any two of the three given events completing successfully, according to the given conditions and restrictions.ⓘ Exponential Distribution [P_{(AB ∪ AC ∪ BC)}]

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Formula

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Exponential Distribution

Formula

`"P"_{"(AB ∪ AC ∪ BC)"} = 1-"P"_{"((A∪B∪C)')"}-"P"_{"(AB'C' ∩ A'BC' ∩ A'B'C)"}`

Example

`"0.4"=1-"0.17"-"0.43"`

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Exponential Distribution Solution

STEP 0: Pre-Calculation Summary

Formula Used

Probability of Occurrence of Atleast Two Events = 1-Probability of Non Occurrence of Any Event-Probability of Occurrence of Exactly One Event
P_{(AB ∪ AC ∪ BC)} = 1-P_{((A∪B∪C)')}-P_{(AB'C' ∩ A'BC' ∩ A'B'C)}
This formula uses 3 Variables

Variables Used

Probability of Occurrence of Atleast Two Events - Probability of Occurrence of Atleast Two Events is the fraction of chance of union of any two of the three given events completing successfully, according to the given conditions and restrictions.
Probability of Non Occurrence of Any Event - Probability of Non Occurrence of Any Event is the compliment of the fraction of the chance of the union of three given events completing successfully.
Probability of Occurrence of Exactly One Event - Probability of Occurrence of Exactly One Event is the fraction of the chance of the intersection of any one of the three given events completing successfully and the other two events not completing.

STEP 1: Convert Input(s) to Base Unit

Probability of Non Occurrence of Any Event: 0.17 --> No Conversion Required
Probability of Occurrence of Exactly One Event: 0.43 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

P_{(AB ∪ AC ∪ BC)} = 1-P_{((A∪B∪C)')}-P_{(AB'C' ∩ A'BC' ∩ A'B'C)} --> 1-0.17-0.43

Evaluating ... ...

P_{(AB ∪ AC ∪ BC)} = 0.4

STEP 3: Convert Result to Output's Unit

0.4 --> No Conversion Required

FINAL ANSWER

0.4 <-- Probability of Occurrence of Atleast Two Events

(Calculation completed in 00.004 seconds)

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Created by Dhruv Walia

Indian Institute of Technology, Indian School of Mines, DHANBAD (IIT ISM), Dhanbad, Jharkhand

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< 7 Probability Distributions Calculators

Hypergeometric Distribution

Go Hypergeometric Probability Distribution Function = (C(Number of Items in Sample,Number of Successes in Sample)*C(Number of Items in Population-Number of Items in Sample,Number of Successes in Population-Number of Successes in Sample))/(C(Number of Items in Population,Number of Successes in Population))

Binomial Probability Distribution

Go Binomial Probability = (C(Number of Trials,Number of Successful Trials))*Probability of Success^Number of Successful Trials*Probability of Failure^(Number of Trials-Number of Successful Trials)

Normal Probability Distribution

Go Normal Probability Distribution Function = 1/(Standard Deviation of Normal Distribution*sqrt(2*pi))*e^((-1/2)*((Number of Successes-Mean of Normal Distribution)/Standard Deviation of Normal Distribution)^2)

Poisson Probability Distribution

Go Poisson's Probability Distribution Function = (e^(-Rate of Distribution)*Rate of Distribution^(Number of Successes in Sample))/(Number of Successes in Sample!)

Geometric Distribution

Go Geometric Probability Distribution Function = Probability of Success*Probability of Failure^(Number of Independent Bernoulli Trials)

Exponential Distribution

Go Probability of Occurrence of Atleast Two Events = 1-Probability of Non Occurrence of Any Event-Probability of Occurrence of Exactly One Event

Continuous Uniform Distribution

Go Probability of Non Occurrence of Any Event = 1-Probability of Occurrence of Atleast One Event

Exponential Distribution Formula

What is Probability in Mathematics?

In Mathematics, Probability theory is the study of chances. In real life, we predict chances depending on the situation. But Probability theory is bringing a mathematical foundation for the concept of Probability. For example, if a box contain 10 balls which include 7 black balls and 3 red balls and randomly chosen one ball. Then the Probability of getting red ball is 3/10 and Probability of getting black ball is 7/10. When coming to statistics, Probability is like the back bone of statistics. It has a wide application in decision making, data science, business trend studies, etc.

What is Combination Probability?

Combination Probability is the number of ways of selecting r items from a set of n. A combination is an unordered collection of unique elements. Given the set, n, of all possible unique elements, a combination is a subset of the elements of n. The order of the elements in a combination is not important. Additionally, the elements cannot be repeated in a combination (i.e., every element appears once); this is often referred to as "without replacement/repetition".

How to Calculate Exponential Distribution?

Exponential Distribution calculator uses Probability of Occurrence of Atleast Two Events = 1-Probability of Non Occurrence of Any Event-Probability of Occurrence of Exactly One Event to calculate the Probability of Occurrence of Atleast Two Events, The Exponential Distribution formula is defined as the fraction of the chance of the union of three given events completing successfully, according to the given conditions and restrictions, and calculated using the probability of occurrence of none or exactly one of the events. Probability of Occurrence of Atleast Two Events is denoted by P_{(AB ∪ AC ∪ BC)} symbol.

How to calculate Exponential Distribution using this online calculator? To use this online calculator for Exponential Distribution, enter Probability of Non Occurrence of Any Event (P_{((A∪B∪C)')}) & Probability of Occurrence of Exactly One Event (P_{(AB'C' ∩ A'BC' ∩ A'B'C)}) and hit the calculate button. Here is how the Exponential Distribution calculation can be explained with given input values -> 0.4 = 1-0.17-0.43.

FAQ

What is Exponential Distribution?

The Exponential Distribution formula is defined as the fraction of the chance of the union of three given events completing successfully, according to the given conditions and restrictions, and calculated using the probability of occurrence of none or exactly one of the events and is represented as P_{(AB ∪ AC ∪ BC)} = 1-P_{((A∪B∪C)')}-P_{(AB'C' ∩ A'BC' ∩ A'B'C)} or Probability of Occurrence of Atleast Two Events = 1-Probability of Non Occurrence of Any Event-Probability of Occurrence of Exactly One Event. Probability of Non Occurrence of Any Event is the compliment of the fraction of the chance of the union of three given events completing successfully & Probability of Occurrence of Exactly One Event is the fraction of the chance of the intersection of any one of the three given events completing successfully and the other two events not completing.

How to calculate Exponential Distribution?

The Exponential Distribution formula is defined as the fraction of the chance of the union of three given events completing successfully, according to the given conditions and restrictions, and calculated using the probability of occurrence of none or exactly one of the events is calculated using Probability of Occurrence of Atleast Two Events = 1-Probability of Non Occurrence of Any Event-Probability of Occurrence of Exactly One Event. To calculate Exponential Distribution, you need Probability of Non Occurrence of Any Event (P_{((A∪B∪C)')}) & Probability of Occurrence of Exactly One Event (P_{(AB'C' ∩ A'BC' ∩ A'B'C)}). With our tool, you need to enter the respective value for Probability of Non Occurrence of Any Event & Probability of Occurrence of Exactly One Event and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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