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Exponential Distribution CDF Calculator

Calculate exponential probability P(X ≤ x) = 1 − exp(−λx). Positive rate and nonnegative x.

Free to useNo sign-upRuns in your browser
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Enter the inputs, then select Calculate.

Allowed range: 0 to 1,000,000,000.

Allowed range: 1e-09 to 1,000,000,000.

Your result
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Result will appear here

How Exponential Distribution CDF Calculator works

Calculate exponential probability P(X ≤ x) = 1 − exp(−λx).

Positive rate and nonnegative x. Uses expm1 for small arguments. Inputs and results use floating-point numbers and may be rounded. Results show up to 12 significant digits.

Concept diagram for Exponential Distribution CDF Calculator, showing nonnegative value x input and the supported output.
Concept diagram; the three operation images are actual browser captures.

How to use Exponential Distribution CDF Calculator

Follow the labelled inputs.

Enter nonnegative value x

Replace the example with nonnegative value x. The field labels specify the expected format and units.

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Input and settings
Exponential Distribution CDF Calculator: input and settings in the implemented browser tool
Actual local browser view. Open the image to read it at full size.

Check the remaining inputs

Set rate λ. Positive rate and nonnegative x.

Calculate
Tool result
Exponential Distribution CDF Calculator: tool result in the implemented browser tool
Actual local browser view. Open the image to read it at full size.

Run, review and save

Select Calculate. Review the calculated result, then copy it or download the result text.

Calculate
Review the details
Exponential Distribution CDF Calculator: review the details in the implemented browser tool
Actual local browser view. Open the image to read it at full size.

Examples and uses for Exponential Distribution CDF Calculator

Check the supplied example

The starting example produces 0.864664716763. Calculate exponential probability P(X ≤ x) = 1 − exp(−λx).

Calculate
Abstract input values and a mathematical worksheet.
Start with the values. Concept illustration.

Use your own inputs

Read the labels for nonnegative value x and rate λ. Positive rate and nonnegative x.

Calculate
Two calculation examples shown for comparison.
Compare a second example. Concept illustration.

Record a reviewed result

Copy the calculated result into your notes. Keep the formula and assumptions with it if someone else needs to reproduce the calculation.

Calculate
A calculation and supporting explanation represented conceptually.
Explain the calculation. Concept illustration.

How to read the result

Read the units and assumptions with the output.

Calculate exponential probability P(X ≤ x) = 1 − exp(−λx).

Positive rate and nonnegative x. Uses expm1 for small arguments. Inputs and results use floating-point numbers and may be rounded. Results show up to 12 significant digits.

CalculateCalculate
A mathematical result connected to the values used to calculate it.
Read the result with its inputs. Concept illustration.

Supported input and limits

Check the stated scope before you run it.

Positive rate and nonnegative x. Uses expm1 for small arguments. Inputs and results use floating-point numbers and may be rounded. Results show up to 12 significant digits.

The input stays in this browser. Copy result and Download save the same displayed text.

CalculateCalculate
Values and units reviewed before relying on a mathematical result.
Check values and units. Concept illustration.

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Exponential Distribution CDF Calculator: common questions

Answers about using Exponential Distribution CDF Calculator and understanding its results.

What inputs and assumptions apply?

Positive rate and nonnegative x. Uses expm1 for small arguments. Inputs and results use floating-point numbers and may be rounded. Results show up to 12 significant digits.

How can I save the result?

Copy result copies the displayed text. Download saves the same text as a TXT file. Processing runs in this browser without an account.

Calculate with your input

Check the calculated result, then copy or download it.

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