document.write( "Question 921515:  I have the hardest problem getting the last step of this problem. I get .4675 but it keeps saying that is wrong. Any help, please?\r
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document.write( "If A and B are independent events, P(A) = 0.45, and P(B) = 0.15, find the probabilities below. (Enter your answers to four decimal places.)
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document.write( "(a)    P(A ∩ B)
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document.write( ".675
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document.write( "(b)    P(A ∪ B)
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document.write( "  
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document.write( ".5325
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document.write( "(c)    P(A | B)
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document.write( "  
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document.write( ".4500
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document.write( "(d)    P(Ac ∪ Bc)
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document.write( "  
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document.write( "Incorrect: Your answer is incorrect. \n" );
document.write( "
| Algebra.Com's Answer #559024 by stanbon(75887)      You can put this solution on YOUR website! I have the hardest problem getting the last step of this problem. I get .4675 but it keeps saying that is wrong. Any help, please? \n" ); document.write( " If A and B are independent events, P(A) = 0.45, and P(B) = 0.15, find the probabilities below. (Enter your answers to four decimal places.) \n" ); document.write( " (a) P(A ∩ B) = P(A)*P(B) = 0.45*0.15 = 0.0675 \n" ); document.write( "------------------- \n" ); document.write( " (b) P(A ∪ B) = P(A)+P(B)-P(A and B) = 0.45+0.15-0.0675 = 0.5325 \n" ); document.write( "-------------------- \n" ); document.write( " (c) P(A | B) = P(A and B)/P(B) = 0.0675/0.15 = 0.45 \n" ); document.write( "=============================== \n" ); document.write( " (d) P(Ac ∪ Bc) \n" ); document.write( "P(Ac) = 0.55 ; P(Bc) = 0.85 \n" ); document.write( "-- \n" ); document.write( "P(Ac U Bc) = P(Ac)+P(Bc) - P(Ac and Bc) = 0.55 + 0.85 - [1-P(Ac OR Bc)] \n" ); document.write( "--- \n" ); document.write( "= 1.4 -1 - 2P(Ac OR Bc) \n" ); document.write( "----- \n" ); document.write( "2P(Ac OR Bc) = 0.4 \n" ); document.write( "P(Ac OR Bc) = 0.2 \n" ); document.write( "------------------------ \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " \n" ); document.write( " |