Chapter 9.2, Problem 22E

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10th Edition

Ron Larson

ISBN: 9781305860919

Textbook Problem

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**Finding a Probability** In Exercises 19-26, sketch the graph of the probability density function over the indicated interval and find each probability. See *Example 3.*

(a)

(b)

(c)

(d)

**(a)**

To determine

**To calculate:** The probability

Explanation

**Given Information:**

The probability density function is

**Formula used:**

A function *f* is a probability density function when it is non-negative and continuous on the interval

**Calculation:**

Consider the function,

Now, the probability that *x* lies between

Now apply the formula to find the probability,

**(b)**

To determine

**To calculate:** The probability

**(c)**

To determine

**To calculate:** The probability

**(d)**

To determine

**To calculate:** The probability

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