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10th Edition

Ron Larson

Publisher: Cengage Learning

ISBN: 9781305860919

Chapter 9, Problem 29RE

Textbook Problem

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**Identifying Probability Density Functions** In Exercises 25-30, 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:** The function using a graphing utility and determine whether the function

**Given Information:**

The function

**Graph:**

Consider the provided function

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

Consider the provided function

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

And,

For

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

Since, the provided function is a constant function and so the function *f* is continuous and nonnegative for all values on the interval

Now, show that

Calculus: An Applied Approach (MindTap Course List)

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