What is the expected area of the resulting circular region? E (²) (Round your answer to 2 decimal places)

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Chapter1: Starting With Matlab
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An ecologist wishes to mark off a circular sampling region having radius 6 m. However, the radius of
the resulting region is actually a random variable R with the following pdf.
f(r) =
=
{
(4 − (11 − r)²) 9≤r ≤ 13
32
otherwise
0
What is the expected area of the resulting circular region? E (²) (Round your answer to 2
decimal places)
Transcribed Image Text:An ecologist wishes to mark off a circular sampling region having radius 6 m. However, the radius of the resulting region is actually a random variable R with the following pdf. f(r) = = { (4 − (11 − r)²) 9≤r ≤ 13 32 otherwise 0 What is the expected area of the resulting circular region? E (²) (Round your answer to 2 decimal places)
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