62
Lokesh Verma
·2009-01-09 02:43:03
this one is bugging me for the last 2 days.. i cant think of a solution at all :(
Am still trying! :)
24
eureka123
·2009-01-09 02:44:41
okkkkk.......soln hasnt struck me tooo......Me trying for more than 5 dayz..
9
Celestine preetham
·2009-01-10 08:10:04
note ; made some mistakes in exp that ive edited in end

edit : abv corresponds to div rod into n+1 regions
i wrongly wrote as n region
also the graphs r rong
wen , n =1 ,its line x+y = 1 in ist coordinate (so region prop to l)
wen, n =2 its plane x+y+z =1 in ist coordinate ( so region prop to l2)
similarly for any n , its region prop to l^n
9
Celestine preetham
·2009-01-10 08:12:26
contd ..........
so P = cases of div rod into n+1 pieces for rod of lenght l/n / that of l
= (l/n)^n/ l^n = 1/n^n
62
Lokesh Verma
·2009-01-11 01:52:21
i dont agreee to your solution.. you have made a small error
|x|+|y|+|z| = 1 is the graph...
these are all planes... 8 of them..
so they will form a diamond like structure..
a cube with diagonal equal to? (for u to answer) :)
was out of my mind when i was posting this one :D
62
Lokesh Verma
·2009-01-11 01:56:51
or is it that i did not udnerstand your solution?
9
Celestine preetham
·2009-01-11 01:57:09
no sir i don agree wit u
X + Y + Z = 1 will be graph with x , y , z >0
62
Lokesh Verma
·2009-01-11 01:59:21
oops ok.. yes... i am completely out of mind :D :P
9
Celestine preetham
·2009-01-12 03:36:23
nishant now sol seems to be right
even i was out of mind for drawin feasible region as sqr and volumes
62
Lokesh Verma
·2009-01-12 03:40:55
celestine i forgot to post this one last nite.. i had the solution in mind..
see for a 3d case it will be a cube of side 1/3 from the origin in the 1st quadrant
and the overall part will be by the plane x+y+z=1
so the probability will be given by the volume ratio...
I dnot knwo if this is what you mean :)
9
Celestine preetham
·2009-01-12 04:36:26
no its not volume ratio for n=2
its area ratio
see my edit abv
9
Celestine preetham
·2009-01-12 04:47:41
also ignore those pics that i posted they r totally rong