[問題] 一題機率

看板Statistics作者 (...)時間16年前 (2008/08/08 18:48), 編輯推噓1(104)
留言5則, 2人參與, 最新討論串7/10 (看更多)
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!! -- ※ 發信站: 批踢踢實業坊(ptt.cc) ◆ From: 219.86.131.252

08/09 02:53, , 1F
Good question! Try this to get some idea.
08/09 02:53, 1F

08/09 02:54, , 3F
3.3.2.html
08/09 02:54, 3F

08/09 02:55, , 4F
Make a transformation on (3.51)
08/09 02:55, 4F

08/09 18:47, , 5F
thanks
08/09 18:47, 5F
文章代碼(AID): #18d2H_qx (Statistics)
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文章代碼(AID): #18d2H_qx (Statistics)