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10th Edition

Ron Larson

Publisher: Cengage Learning

ISBN: 9781305860919

Chapter 9, Problem 36RE

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

**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

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