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A and B are two events.

Let P(A)=0.3 ,  P(B)=0.9 , and P(A and B)=0.24 .

 

Which statement is true?

 

  • A and B are not independent events because  P(A|B)≠P(A) .
  • A and B are not independent events because P(A|B)=P(B) and  P(B|A)=P(A) .
  • A and B are independent events because P(A|B)=P(B) and P(B|A)=P(A) .
  • A and B are not independent events because P(A|B)=P(A) and P(B|A)=P(B) .
adore.nuk  Feb 7, 2018
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 #1
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+2

P ( A I B )  =  P ( A ) ???

 

P( A I B )  =   P (A and B ) / P (B)  =  .24 / .90  =  4/15   ≈  .267  

 

And P(A)  = .3

 

So....not independent because P(A|B) ≠ P(A)   [ the first answer ]

 

 

cool cool cool

CPhill  Feb 7, 2018

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