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10th Edition

Ron Larson

Publisher: Cengage Learning

ISBN: 9781305860919

Chapter 9, Problem 34RE

Textbook Problem

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**Finding a Probability** In Exercises 31-36, sketch the graph of the probability density function over the indicated interval and find each probability.

(a)

(b)

(c)

(d)

To determine

**To graph:** The probability density function

(a)

(b)

(c)

(d)

**Given Information:**

The probability density function

**Graph:**

Consider the provided probability density 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 [Y=] and enter the function

Step 3: Press the [WINDOW] key and adjust the scale.

And,

Step 4: Press the [GRAPH] key.

The graph of the function

Now, calculate the probabilities.

Consider the provided probability density function

Use the formula

Use the formula

(a)

To calculate

Simplify.

Thus, the probability of

(b)

To calculate

Calculus: An Applied Approach (MindTap Course List)

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