# 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?

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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