(New page: A B P(A=1) = p P(B=1) = p P(A=0) = 1-p P(B=0) = 1-p P(A=1,C=1) = P(A=1) . P(C=1) = p.P(A=1,B=0) = p^2.(1-p) (1) P(A=1,B=0) = P(A=1) . P(B=0) = p.(1-p) (2) Since...)
 
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         A B
 
         A B
 
 
P(A=1) = p P(B=1) = p
+
 +
        P(A=1) = p P(B=1) = p
 
P(A=0) = 1-p P(B=0) = 1-p
 
P(A=0) = 1-p P(B=0) = 1-p
 
 
P(A=1,C=1) = P(A=1) . P(C=1) = p.P(A=1,B=0) = p^2.(1-p) (1)
+
 +
        P(A=1,C=1) = P(A=1) . P(C=1) = p.P(A=1,B=0) = p^2.(1-p) (1)
 
P(A=1,B=0) = P(A=1) . P(B=0) = p.(1-p) (2)
 
P(A=1,B=0) = P(A=1) . P(B=0) = p.(1-p) (2)
  
 
Since, (1) & (2) are not equal to each other, A & C are
 
Since, (1) & (2) are not equal to each other, A & C are
 
independent of each other when bits are biased.
 
independent of each other when bits are biased.

Revision as of 14:18, 16 September 2008



       A		B		


       P(A=1) = p	P(B=1) = p

P(A=0) = 1-p P(B=0) = 1-p


       P(A=1,C=1) = P(A=1) . P(C=1) = p.P(A=1,B=0) = p^2.(1-p)		(1)

P(A=1,B=0) = P(A=1) . P(B=0) = p.(1-p) (2)

Since, (1) & (2) are not equal to each other, A & C are independent of each other when bits are biased.

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