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Q. 10

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Precalculus Enhanced with Graphing Utilities

Found in: Page 864

Book edition 6th

Author(s) Sullivan

Pages 1200 pages

ISBN 9780321795465

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Short Answer

Determine whether the following is a probability model.

The given is not a probability model.

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Step by Step Solution

TABLE OF CONTENTS :

TABLE OF CONTENTS

Step 1. Given information.

Determine whether the following is a probability model.

Step 2. Determine the probability model.

Analyzing the given table, there are outcome whose probability is between 0 and 1 while the probability of one outcome, $P (Angela)$ is negative.

Adding them together we have,

$P (Erica) + P (Joenee) + P (Laura) + P (Donna) + P (Angela) = 0.3 + 0.2 + 0.1 + 0.5 + (- 0.1) = 1$

Although the sum of the probability of each outcome is 1, there is one probability of an outcome that is below 0.

Thus, the given is not a probability model.

Step 3. Conclusion.

The given is not a probability model.

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