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Determine whether the function is a probability density function over the given interval. f(x) = 8SxS 12 O Yes O No

Determine whether the function is a probability density function over the given interval. f(x) = 8SxS 12 O Yes O No

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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**Question 15** Determine whether the function is a probability density function over the given interval. \( f(x) = \frac{1}{4}, \; 8 \leq x \leq 12 \) - [ ] Yes - [ ] No *Note: Moving to the next question prevents changes to this answer.* --- **Explanation**: This question requires you to verify if the function \( f(x) = \frac{1}{4} \) over the interval \( 8 \leq x \leq 12 \) qualifies as a probability density function (PDF). For \( f(x) \) to be a PDF, the integral over the given interval must equal 1 and the function must be non-negative over that interval.
Transcribed Image Text:**Question 15** Determine whether the function is a probability density function over the given interval. \( f(x) = \frac{1}{4}, \; 8 \leq x \leq 12 \) - [ ] Yes - [ ] No *Note: Moving to the next question prevents changes to this answer.* --- **Explanation**: This question requires you to verify if the function \( f(x) = \frac{1}{4} \) over the interval \( 8 \leq x \leq 12 \) qualifies as a probability density function (PDF). For \( f(x) \) to be a PDF, the integral over the given interval must equal 1 and the function must be non-negative over that interval.
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