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10th Edition

Ron Larson

Publisher: Cengage Learning

ISBN: 9781305860919

Chapter 9, Problem 9TYS

Textbook Problem

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In Exercises 7–9, use a graphing utility to graph the function. Then determine whether the function *f* represents a probability density function over the given interval. If *f* is not a probability density function, identify the condition(s) that is (are) not satisfied.

To determine

**To graph:** Whether the function

**Graph:**

Use the ti-83 graphing calculator to construct the graph of the function.

Step 1: Open the ti-83 graphing calculator.

Step 2: Press

Step 3: Press the

And,

Step 4: Press the

The graph of the function is obtained as,

Consider the provided function

A function *f* of a continuous random variable *x* in the interval

Consider any value

Evaluate the function at

So,

So, the function *f* is continuous and nonnegative for all values on the interval

Evaluate the integral

Calculus: An Applied Approach (MindTap Course List)

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