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10th Edition

Ron Larson

Publisher: Cengage Learning

ISBN: 9781305860919

Chapter 9, Problem 61RE

Textbook Problem

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**Education** In 2013, the scores on the Medical College Admission Test (MCAT) can be modeled by a normal probability density function with a mean of 25.3 and a standard deviation of 6.5. *(Source: Association of American Medical Colleges)*

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

(b) Use a symbolic integration utility to approximate the probability that a person who took the MCAT scored between 20 and 35.

(c) Use a symbolic integration utility to approximate the probability that a person who took the MCAT scored more than 36.

**(a)**

To determine

**To graph:** The sketch of distribution of the scores in MCAT using graphing utility where the scores are normally distributed with a mean and standard deviation of

**Given Information:**

The scores are normally distributed with a mean and standard deviation of

**Graph:**

The normal probability density function is given by

Substitute

**(b)**

To determine

**To calculate:** The approximate probability that the score of the person who took MCAT is between

**(c)**

To determine

**To calculate:** The approximate probability that the MCAT score of the person is more than

Calculus: An Applied Approach (MindTap Course List)

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