An ecologist wishes to mark off a circular sampling region having radius 12 m. However, the radius of the resulting region is actually a random variable R with the following pdf. -- 1- (12-1)²] 0 11 ≤rs 13 otherwise. What is the expected area of the resulting circular region? (Round your answer to two decimal places.) 453.02 m² Viewing Saved Work Revert to Last Response

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section: Chapter Questions
Problem 22SGR
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DETAILS DEVORESTAT9 4.2.021.
An ecologist wishes to mark off a circular sampling region having radius 12 m. However, the radius of the resulting region is actually a random variable R with the following pdf.
1 - (12 - 7)²]
f(r) =
- {2
0
11 ≤rs 13
otherwise
What is the expected area of the resulting circular region? (Round your answer to two decimal places.)
453.02
m²
ASK YOUR TE
Viewing Saved Work Revert to Last Response
Jim-
Transcribed Image Text:DETAILS DEVORESTAT9 4.2.021. An ecologist wishes to mark off a circular sampling region having radius 12 m. However, the radius of the resulting region is actually a random variable R with the following pdf. 1 - (12 - 7)²] f(r) = - {2 0 11 ≤rs 13 otherwise What is the expected area of the resulting circular region? (Round your answer to two decimal places.) 453.02 m² ASK YOUR TE Viewing Saved Work Revert to Last Response Jim-
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