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Unformatted text preview: ____ 4. P(AB) =0.1 P(A B ) =0.2 P(B) =0.7. P(A) =____ SOLUTIONS : 1. 15/50=0.30 3 . 50 . 15 . ) ( ) ( ) / ( = = ∩ = A P B A P A B P 2. 0.16 16 . ) 2 . ( * ) 8 . ( ) ( * ) / ( ) ( = = = ∩ A P A B P B A P 3. b A={ 5,6 }; so P(A)=2/6=1/3. B= { 1,2} , so P(B)=1/3. A ∩ B = { }, so P(A B )=0/6 and A and B are MUTUALLY EXCLUSIVE. Mutually exclusive events are always dependent. Or note that P(A)P(B) = (1/3) (1/3) = 1/9 ≠ 0 = P(A B); thus A, B are dependent .. 4. 0.13 P(A) = ) ( )  ( 1 j n j j B P B A P ∑ = . Here n=2 and B 1 =B and B 2 = B so P(A) = P(AB)P(B) + P(A B ) P( B ) = (0.1 x 0.7) + (0.2 x 0.3) =0.13...
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 Fall '03
 Mendell

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