smuindi3293
28.08.2019 •
Mathematics
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 − (14 − r)2
0
13 ≤ r ≤ 15
what is the expected area of the resulting circular region?
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Ответ:
=13 (upper limit of integral)
∫
15 (lower limit of integral)
πr^2 3 / 4[1−(14−r)^2]dr
integrating it would yield
981π / 5
Ответ:
26
Step-by-step explanation:
2(5+8)
=2×(13)
=26
therefore 26 is the answer