An ecologist wishes to mark off a circular sampling region having radius 5 m . However, the radius of the resulting region is actually a random variable
R
with the following pat.
f(r)={((3)/(4)[1-(5-r)^(2)],4<=r<=6),(0 otherwise ):}
What is the expected area (in
m^(2)
) of the resulting circular region? (Round your answer to two decimal places.)
?
m^(2)
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