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# A point chosen at random

A point is chosen uniformly at random from the circumference of a circle of diameter 1. Let X be the length of the chord joining the random point to an arbitrary fixed point on the circumference. Find a) cdf of X b) E(X) c) Var(X).

Update:

How do you get the length of x?

Update 2:

And how do you get the range of x?

### 1 Answer

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- 自由自在Lv 78 years agoFavorite Answer
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2013-05-06 20:56:27 補充：

Var(X) should be 2-16/PI^2

2013-05-06 22:27:27 補充：

Var = 2 - 16 / Pi^2

2013-05-07 19:35:51 補充：

I mis-read the question and take the radius = 1 instead of the diameter.

Updated solution:

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