## Exponential Distribution Calculator

Calculate probabilities and percentiles for the exponential distribution.

**Frequently Asked Questions (FAQs):**

**What is an exponential distribution, and why is it important?**- An exponential distribution models the time between events in a process that follows the memoryless property. It's vital in probability theory for scenarios involving decay, waiting times, and reliability analysis.

**What is the formula for calculating exponential distribution probabilities?**- The formula for calculating the probability of observing an event in an exponential distribution, given a rate parameter
**λ**, is:

- Where
**x**is the specific time interval and**e**is Euler's number.

- The formula for calculating the probability of observing an event in an exponential distribution, given a rate parameter
**How do I interpret exponential distribution probabilities?**- Exponential distribution probabilities provide the likelihood of an event occurring within a specific time interval. It's often used to model time-to-failure in reliability analysis and the inter-arrival times in queuing systems.