This exponential distribution calculator will help you efficiently calculate the probability and cumulative probabilities for a given rate of decay or growth in various scenarios.
How to Use the Exponential Distribution Calculator
Enter the rate (λ) and the value of x in the respective input fields. Then click the “Calculate” button to compute the exponential distribution. The result will display in the Result field.
How It Calculates the Result
The Exponential Distribution Calculator computes the probability density function (PDF) for the exponential distribution, which takes the form:
f(x;λ) = λ * e-λx for x ≥ 0,
where e is the base of the natural logarithm, λ is the rate parameter, and x is the random variable.
Limitations of the Exponential Distribution Calculator
Please note that the rate parameter (λ) must be a positive number, and the value of x must be a non-negative number. Input values that do not meet these criteria will result in an error message. Additionally, due to browser-based limitations, extremely large values might cause inaccurate calculations or loss of precision.
Other Resources and Tools
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- Exponential Regression Calculator – Quick and Accurate Analysis
- Poisson Distribution Calculator – Fast & Accurate Probability Results