Chapter 9.3, Problem 35E

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10th Edition

Ron Larson

ISBN: 9781305860919

Textbook Problem

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**Finding Probabilities** In Exercises 35 and 36, let *x* be a random variable that is normally distributed with the given mean and standard deviation. Find each probability using a symbolic integration utility.

**(a)**

To determine

**To calculate:** The probability

Explanation

**Given information:**

The provided mean is

**Formula used:**

The normal probability density function is given by,

Where, *x* in the interval

To find the probability,

Where, *f* is a probability density function with a continuous random variable *x* in the interval

**Calculation:**

The normal probability density function as,

Now substitute

Now apply the formula

**(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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