A stone is thrown into a circular pond of radius 1 meter. Suppose the stone falls uniformly at random on the area of the pond. What will be the expected distance of the stone from the center of the pond?
Options are:
A. 1/3
B. 1/2
C. 2/3
D. #1/2^(1/2) #
Options are:
A. 1/3
B. 1/2
C. 2/3
D.
1 Answer
Jun 6, 2018
Option: C
Explanation:
By definition of the PDF
Check:
#int_0^1 mathbb P \ dr = 1#
Expected value of