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)={34(1−(14−r)2)13≤r≤150 otherwise
What is the expected area of the resulting circular region?

the expected area of the resulting circular region is 616.38 m²

Step-by-step explanation:

Given that:

otherwise

The expected area of the resulting circular region  is:

=

=

To calculate

Recall:

The expected area of the resulting circular region  is:

=

=

where;

Then

The expected area of the resulting circular region  is:

=

= 616.38 m²

idk sry

step-by-step explanation:

- 70

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