n ecologist wishes to mark off a circular sampling region having radius 14 m. However, the radius of the resulting region is actually a random variable R with the following pdf. What is the expected area of the resulting circular re

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 20E
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An ecologist wishes to mark off a circular sampling region having radius 14 m. However, the radius of the resulting region is actually a random variable R with the following pdf.

What is the expected area of the resulting circular region? (Round your answer to two decimal places.)
An ecologist wishes to mark off a circular sampling region having radius 14 m. However, the radius of the resulting region is actually a random variable R with the following pdf.
클1-(14-02
13 <r< 15
f(r) =
otherwise
What is the expected area of the resulting circular region? (Round your answer to two decimal places.)
m2
Transcribed Image Text:An ecologist wishes to mark off a circular sampling region having radius 14 m. However, the radius of the resulting region is actually a random variable R with the following pdf. 클1-(14-02 13 <r< 15 f(r) = otherwise What is the expected area of the resulting circular region? (Round your answer to two decimal places.) m2
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