2. Suppose A and B are independent. If Pr[AU B] = .6 and Pr[A] = .4, find Pr[AN B']. %3D

Linear Algebra: A Modern Introduction
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ISBN:9781285463247
Author:David Poole
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Chapter5: Orthogonality
Section5.3: The Gram-schmidt Process And The Qr Factorization
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that Pr[E|F] = Pr[E] and Pr[F|E] = Pr[F]. It should also make sense that if E and P are Ildup
then E' and F, E and F', and E' and F' are also independent, because if E shouldn't affectF h
then E not happening (i.e. E' occirring) shouldn't affect F happening, and E occurring shouldn.
not occurring etc.
%3D
00
2. Suppose A and B are independent. If Pr[AU B] = .6 and Pr[A] = .4, find Pr[AN B'].
%3D
3. Suppose X and Y are independent. Find Pr[X'|Y] if Pr[X nY] = .42 and Pr[Y] = .6.
王
Transcribed Image Text:that Pr[E|F] = Pr[E] and Pr[F|E] = Pr[F]. It should also make sense that if E and P are Ildup then E' and F, E and F', and E' and F' are also independent, because if E shouldn't affectF h then E not happening (i.e. E' occirring) shouldn't affect F happening, and E occurring shouldn. not occurring etc. %3D 00 2. Suppose A and B are independent. If Pr[AU B] = .6 and Pr[A] = .4, find Pr[AN B']. %3D 3. Suppose X and Y are independent. Find Pr[X'|Y] if Pr[X nY] = .42 and Pr[Y] = .6. 王
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