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10th Edition

Ron Larson

Publisher: Cengage Learning

ISBN: 9781305860919

Chapter 9, Problem 62RE

Textbook Problem

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**Botany** In a botany experiment, plants are grown in a nutrient solution. The heights of the plants are found to be normally distributed with a mean of 42 centimeters and a standard deviation of 3 centimeters.

(a) Use a graphing utility to graph the distribution.

(b) Use a symbolic integration utility to approximate the probability that the height of a plant is between 40 and 45 centimeters.

(c) Use a symbolic integration utility to approximate the probability that the height of a plant is less than 50 centimeters.

**(a)**

To determine

**To graph:** The sketch of distribution of the growth of plants in a nutrient solution using graphing utility where the scores are normally distributed with a mean and standard deviation of heights of the plants is

**Given Information:**

The mean and standard deviation of heights of the plants is

**Graph:**

The normal probability density function is given by

Substitute

Now use Ti-83 calculator to draw the graph of the above function

**(b)**

To determine

**To calculate:** The approximate probability that the height of the plants is between

**(c)**

To determine

**To calculate:** The approximate probability that the height of the plants is less than

Calculus: An Applied Approach (MindTap Course List)

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