指数分布計算機

共有リンク

はじめに

Exponential Distribution Calculator — Compute PDF, CDF, and mean of an exponential distribution. Enter Rate (λ), Value (x) to get an instant, accurate result.

計算式

PDF = λ × e^(−λx). CDF (probability that X ≤ x) = 1 − e^(−λx). Mean = 1/λ.

ステップごとの説明

Enter the Rate (λ).
Enter the Value (x).
Click Calculate to see your result instantly.

実例

Example: With Rate (λ) = 2, Value (x) = 1, the Exponential Distribution Calculator gives Pdf: 0.2707, Cdf: 0.8647, Mean: 0.5.

よくある質問

What does the exponential distribution model?

It models the time between independent events that occur at a constant average rate, such as the waiting time until the next customer arrives.

What is the "memoryless" property?

The exponential distribution has no memory of elapsed time — the probability of waiting an additional t units is the same regardless of how long you've already waited.

What inputs does the Exponential Distribution Calculator need?

You'll need to provide: Rate (λ), Value (x). All fields use sensible defaults, so you can see a working example immediately and then adjust the values to match your own numbers.

How accurate is the Exponential Distribution Calculator?

The Exponential Distribution Calculator applies the formula exactly as calculated — PDF = λ × e^(−λx). CDF (probability that X ≤ x) = 1 − e^(−λx). Mean = 1/λ. — so results are precise for the inputs you provide. Accuracy depends on entering correct, realistic input values.

Is the Exponential Distribution Calculator free to use?

Yes, the Exponential Distribution Calculator is completely free, requires no signup, and runs instantly in your browser.