[問題] 一題機率

[brucejune (...)]

問題：

Choose two points on the unit circle randomly.

Find the probability density of the length of the chord conecting

the two points.


答案：

(4/(π^2 *(4-r^2)^(-1/2)))*(π-2sin的反函數(r/2))  , 0 < r < 2




題目是大概看得懂，不過不知道要從何下手
這題卡了有點久，煩請版上的朋友幫我解答^^
謝謝!!


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推 clickhere:Good question! Try this to get some idea.
→ clickhere:http://web.mit.edu/urban_or_book/www/book/chapter3/
→ clickhere:3.3.2.html
→ clickhere:Make a transformation on (3.51)
→ brucejune:thanks