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10th Edition

Ron Larson

Publisher: Cengage Learning

ISBN: 9781305860919

Chapter 9, Problem 15TYS

Textbook Problem

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In Exercises 13–15, use the given probability density function over the indicated interval to find the expected value, variance, and standard deviation of the random variable.

To determine

**To calculate:** The expected value, variance and standard deviation of probability density function

**Given Information:**

The probability density function is defined as

**Formula used:**

The formula for expected value, variance and standard deviation of an exponential probability density function

**Calculation:**

Consider the provided probability density function.

This shows that the provided probability density function is an exponential probability density function with

The formula for expected value and variance of an exponential probability density function is defined as,

And,

The provided exponential probability density function shows that

Calculus: An Applied Approach (MindTap Course List)

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