# There are 2 exponential distribution X and Y. X has \lambda = 1and Y has \lambda= 2. How does the...

## Question:

There are 2 exponential distribution X and Y. X has {eq}\lambda = 1 {/eq} and Y has {eq}\lambda= 2 {/eq}. How does the hazard rate of min changes?

Explain and provide a step-by-step solution.

## Exponential Distribution

The exponential distribution is a continuous distribution used to model the inter-event times or waiting times. The sum of two or more exponential variables with the same parameter value can be model using gamma distribution and the minimum of the exponential variables is also exponential.

## Answer and Explanation:

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The exponential distribution has the property that the minimum of exponential variable is also exponential.

{eq}\min \left\{ {X,Y}...

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Chapter 5 / Lesson 1Exponential notation is a mathematical method for writing longer multiplication problems in a simplified manner. This lesson will define how to work with exponential notation and give some examples of how it is used.