An ecologist wishes to mark off a circular sampling region having radius 10 m. However, the radius of the resulting region is actually a random variable R with the following pdf. f(r) = 3/4 [1 ? (12 ? r)^2] 11 ? r ? 13 0 otherwise What is the expected area of the resulting circular region? (Round your answer to two decimal places.)

expected area = 453.20 m^2

Step-by-step explanation:

The given data     11 ≤ r ≤ 13

        o / w

Th expected area of the insulating circular region can be calculated using

= E(

=

we will have to calculate  

attached is the remaining part of the solution

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step-by-step explanation:

yes

step-by-step explanation:

so of course you want to start by plugging the 5 in which goes to 7(5)+3(5)=50 because 7*5=35 and 3*5=15 and then add them together, then plug in the 5 to the other equation as well 9(5)+5=50 because 9*5= 45 and then add 5 and so yes they are equivalent.