Exponential Distribution Calculator

✖Probability of Non Occurrence of Any Event is the likelihood that none of the events A, B or C occur.ⓘ Probability of Non Occurrence of Any Event [P_{((A∪B∪C)')}]			+10% -10%
✖Probability of Occurrence of Exactly One Event is the likelihood that only one out of the three events A, B and C will happen, ensuring that no more than one event occurs.ⓘ Probability of Occurrence of Exactly One Event [P_{(Exactly One)}]			+10% -10%

✖Probability of Occurrence of Atleast Two Events is the likelihood that any two or more of these events will happen.ⓘ Exponential Distribution [P_{(Atleast Two)}]

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Formula

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Exponential Distribution

Formula

`"P"_{"(Atleast Two)"} = 1-"P"_{"((A∪B∪C)')"}-"P"_{"(Exactly One)"}`

Example

`"0.5"=1-"0.08"-"0.42"`

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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_{(Atleast Two)} = 1-P_{((A∪B∪C)')}-P_{(Exactly One)}
This formula uses 3 Variables

Variables Used

Probability of Occurrence of Atleast Two Events - Probability of Occurrence of Atleast Two Events is the likelihood that any two or more of these events will happen.
Probability of Non Occurrence of Any Event - Probability of Non Occurrence of Any Event is the likelihood that none of the events A, B or C occur.
Probability of Occurrence of Exactly One Event - Probability of Occurrence of Exactly One Event is the likelihood that only one out of the three events A, B and C will happen, ensuring that no more than one event occurs.

STEP 1: Convert Input(s) to Base Unit

Probability of Non Occurrence of Any Event: 0.08 --> No Conversion Required
Probability of Occurrence of Exactly One Event: 0.42 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

P_{(Atleast Two)} = 1-P_{((A∪B∪C)')}-P_{(Exactly One)} --> 1-0.08-0.42

Evaluating ... ...

P_{(Atleast Two)} = 0.5

STEP 3: Convert Result to Output's Unit

0.5 --> No Conversion Required

FINAL ANSWER

0.5 <-- 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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< 2 Exponential Distribution Calculators

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

Variance in Exponential Distribution

Go Variance of Data = 1/(Population Parameter of Exponential Distribution^2)

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_{(Atleast Two)} 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_{(Exactly One)}) and hit the calculate button. Here is how the Exponential Distribution calculation can be explained with given input values -> 0.41 = 1-0.08-0.42.

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_{(Atleast Two)} = 1-P_{((A∪B∪C)')}-P_{(Exactly One)} 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 likelihood that none of the events A, B or C occur & Probability of Occurrence of Exactly One Event is the likelihood that only one out of the three events A, B and C will happen, ensuring that no more than one event occurs.

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_{(Exactly One)}). 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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