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X1, X2, X3 on a spnning fair wheel three times

  1. Feb 6, 2009 #1
    Three random variables are generated X1, X2, X3 on a spnning fair wheel three times. these variables are independent and uniformaly distributes on [0,1]. find probability that these values are none within +-d of each other where 0<=Y1<=Y2<=Y3<=1 is order statistics for randon variables.
    fY2Y3(y2,y3) = 2!fx(y) . fX(y) =

    what is fX(y)? can some one help?

    Also,

    Pr[d<=Y2<=(1.2d), (y2+d)<=Y3<=(1-d)] =

    where y2 and y3 be placed in [0, 1]

    I can understand it but don't know how to do it....
     
  2. jcsd
  3. Feb 6, 2009 #2
    order statistics

    any one helping .....
     
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