[問題] 急問機率問題（謝謝）
Assume that you have a circle with a point P designated on the perimeter.
You choose two points X1 and X2 along the perimeter.
Let X1X2 represent the length of the arc from X1 and X2 (drawn clockwise from X1) and let X2x2 represent the length of the arc from X2 to X1(drawn clockwise from X2)
Suppose the radius of the circle is r
1. What are the marginal distribution of X1X2 and X2X1
2. What is correlation between X1X2 and X2X1
3. To the marginal distributions computed in part (a)
What can be said about the means associated with these distributions?
This is an example of length-biased sampling.
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