9th Edition

ISBN: 9781337613927

Author: Stewart

Publisher: CENGAGE L

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Textbook Question

Chapter 8.5, Problem 7E

A spinner from a board game randomly indicates a real number between 0 and 10. The spinner is fair in the sense that it indicates a number in a given interval with the same probability as it indicates a number in any other interval of the same length.

(a) Explain why the function

f ( x ) = { 0.1 if 0 ≤ x ≤ 1 0 if x < 0 or x > 10

is a probability density function for the spinner’s values.

(b) What does your intuition tell you about the value of the mean? Check your guess by evaluating an integral.

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Chapter 8.5, Problem 6E

Chapter 8.5, Problem 8E

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Chapter 8 Solutions

Calculus, Early Transcendentals

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Solution Summary: The author explains why the function is called a probability density function for spinner's values.

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