徵求probability高手

what is the expected value of the distance between x2 and x1 which are picked from 0 to 1 randomly?




what is the exact value?

1/3

1/3

why don’t you ask ChatGpt?

deepshit 都識答啦

1/3

咁係個問題太易姐

Uniform Distribution其實真係太易

啱啱學pdf嗰陣覺得好神奇
可以處理到 infinitely many outcome

八九歲 calculus，linear algebra ，monte Carlo simulation

but stilll

老實講句，我而家都淨係識鳩計first/second order ode ，calculus of variation都仲未識

太遲先對數學有興趣

小學都未教coordinate 點可能解到呢?

用pdf去計確實係easy
並且呢個係我唯一個識得嘅solution
但係喺鬼佬論壇其他嗰啲solution就完全睇唔明
就係希望睇下有冇更加簡潔解法

咁不如將鬼佬solution po上黎

想知當年你係理解到咩程度
明白y=f(x)有幾何意義？
會唔會思考點解 delta x有時等於零有時唔等於0?
dy/dx 有咩具體含義?
點解local min/max ocurrs when dy/dx=0?
明白廣義上function嘅input可以喺function 並且output數字?
會唔會感受到dy/dx=0 同δs=0 有相似性?
又或者係能夠應用到咩程度?

可以用Crofton’s method

http://dspace.mit.edu/bitstream/handle/1721.1/34898/1-203JFall-2001/NR/rdonlyres/Civil-and-Environmental-Engineering/1-203JLogistical-and-Transportation-Planning-MethodsFall2001/F664F46E-91B4-496C-A912-D32A3FFBE12D/0/f01lec01.pdf