Explanation Given information: The density function p ( x ) is stated by p ( x ) = { 0 x < 0 0 x ≥ 5 p ( x ) is a decreasing function in 0 ≤ x ≤ 5 . Formula used: p ( x ) is a density function if and only if it satisfies the following conditions. p ( x ) ≥ 0 for all x and ∫ − ∞ ∞ p ( x ) d x = 1 Calculation: Considering the properties of density function, we can say that the graph of p ( x ) lie in the first quadrant and it is decreasing function from given information. As p ( x ) = { 0 x < 0 0 x ≥ 5 we can say that integrating the p ( x ) from 0 to 5 with respect to x we should get 1. We know Cosx is a strictly decreasing function from 0 to π 2 . So, we can say that cos π x 10 is decreasing function for x value from 0 to 5

6th Edition

ISBN: 9781119399322

Author: Hughes-Hallett

Publisher: WILEY

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Chapter 7.1, Problem 14P

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The density function p(x).

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Chapter 7 Solutions

APPLIED CALCULUS (WILEY PLUS)

Ch. 7.1 - Prob. 1P Ch. 7.1 - Prob. 2P Ch. 7.1 - Prob. 3P Ch. 7.1 - Prob. 4P Ch. 7.1 - Prob. 5P Ch. 7.1 - Prob. 6P Ch. 7.1 - Prob. 7P Ch. 7.1 - Prob. 8P Ch. 7.1 - Prob. 9P Ch. 7.1 - Prob. 10P

Ch. 7.1 - Prob. 11P Ch. 7.1 - Prob. 12P Ch. 7.1 - Prob. 13P Ch. 7.1 - Prob. 14P Ch. 7.1 - Prob. 15P Ch. 7.1 - Prob. 16P Ch. 7.1 - Prob. 17P Ch. 7.1 - Prob. 18P Ch. 7.2 - Prob. 1P Ch. 7.2 - Prob. 2P Ch. 7.2 - Prob. 3P Ch. 7.2 - Prob. 4P Ch. 7.2 - Prob. 5P Ch. 7.2 - Prob. 6P Ch. 7.2 - Prob. 7P Ch. 7.2 - Prob. 8P Ch. 7.2 - Prob. 9P Ch. 7.2 - Prob. 10P Ch. 7.2 - Prob. 11P Ch. 7.2 - Prob. 12P Ch. 7.2 - Prob. 13P Ch. 7.2 - Prob. 14P Ch. 7.2 - Prob. 15P Ch. 7.2 - Prob. 16P Ch. 7.2 - Prob. 17P Ch. 7.2 - Prob. 18P Ch. 7.2 - Prob. 19P Ch. 7.2 - Prob. 20P Ch. 7.2 - Prob. 21P Ch. 7.3 - Prob. 1P Ch. 7.3 - Prob. 2P Ch. 7.3 - Prob. 3P Ch. 7.3 - Prob. 4P Ch. 7.3 - Prob. 5P Ch. 7.3 - Prob. 6P Ch. 7.3 - Prob. 7P Ch. 7.3 - Prob. 8P Ch. 7.3 - Prob. 9P Ch. 7.3 - Prob. 10P Ch. 7.3 - Prob. 11P Ch. 7.3 - Prob. 12P Ch. 7 - Prob. 1SYU Ch. 7 - Prob. 2SYU Ch. 7 - Prob. 3SYU Ch. 7 - Prob. 4SYU Ch. 7 - Prob. 5SYU Ch. 7 - Prob. 6SYU Ch. 7 - Prob. 7SYU Ch. 7 - Prob. 8SYU Ch. 7 - Prob. 9SYU Ch. 7 - Prob. 10SYU Ch. 7 - Prob. 11SYU Ch. 7 - Prob. 12SYU Ch. 7 - Prob. 13SYU Ch. 7 - Prob. 14SYU Ch. 7 - Prob. 15SYU Ch. 7 - Prob. 16SYU Ch. 7 - Prob. 17SYU Ch. 7 - Prob. 18SYU Ch. 7 - Prob. 19SYU Ch. 7 - Prob. 20SYU Ch. 7 - Prob. 21SYU Ch. 7 - Prob. 22SYU Ch. 7 - Prob. 23SYU Ch. 7 - Prob. 24SYU Ch. 7 - Prob. 25SYU Ch. 7 - Prob. 26SYU Ch. 7 - Prob. 27SYU Ch. 7 - Prob. 28SYU Ch. 7 - Prob. 29SYU Ch. 7 - Prob. 30SYU

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The density function p ( x ) .

Solution Summary: The author explains that the density function p(x) is a decreasing function if it satisfies the following conditions.

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To calculate:

The density function p(x).

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Chapter 7 Solutions

The density function p ( x ) .

Solution Summary: The author explains that the density function p(x) is a decreasing function if it satisfies the following conditions.

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To calculate: The density function p(x).

Want to see the full answer?

Chapter 7 Solutions

To calculate:

The density function p(x).