An ecologist wishes to mark off a circular sampling region having radius 13 m. However, the radius of the resulting region is actually a random variable R with the following pdf. -0. f(r) = . 1-(13-)²] 12 ≤ r ≤ 14 0 otherwise What is the expected area of the resulting circular region? (Round your answer to two decimal places.) x m²

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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An ecologist wishes to mark off a circular sampling region having radius 13 m. However, the radius of the resulting region is actually a random variable R with the following pdf.
--
1-(13-)²]
f(r) = .
0
12 ≤ r ≤ 14
otherwise
What is the expected area of the resulting circular region? (Round your answer to two decimal places.)
x m²
Transcribed Image Text:An ecologist wishes to mark off a circular sampling region having radius 13 m. However, the radius of the resulting region is actually a random variable R with the following pdf. -- 1-(13-)²] f(r) = . 0 12 ≤ r ≤ 14 otherwise What is the expected area of the resulting circular region? (Round your answer to two decimal places.) x m²
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