document.write( "Question 838613: Let P(A) = 0.43, P(B) = 0.18, and P(A | B) = 0.38.\r
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\n" ); document.write( "a. Calculate P(A∩B). (Round your answer to 3 decimal places.)\r
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\n" ); document.write( " P(A∩B) \r
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\n" ); document.write( "b. Calculate P(A U B). (Round your answer to 3 decimal places.)\r
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\n" ); document.write( " P(A U B) \r
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\n" ); document.write( "c. Calculate P(B | A). (Round your answer to 3 decimal places.)\r
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\n" ); document.write( " P(B | A) \r
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Algebra.Com's Answer #505190 by Edwin McCravy(20060) $\"\"$ $\"About$

You can put this solution on YOUR website!
Let P(A) = 0.43, P(B) = 0.18, and P(A|B) = 0.38.

P(A|B) = P(A⋂B)/P(B)\r\n" );
document.write( "0.38  = P(A⋂B)/0.18

a. Calculate P(A⋂B). (Round your answer to 3 decimal places.)

P(A|B) =  P(A⋂B)/P(B)\r\n" );
document.write( "0.38  =  P(A⋂B)/0.18\r\n" );
document.write( "Multiply both sides by 0.18\r\n" );
document.write( "0.0684 =  P(A⋂B)

b. Calculate P(A⋃B). (Round your answer to 3 decimal places.)

P(A⋃B) = P(A)+P(B)-P(A⋂B) = 0.43+0.18-0.0684 = 0.5416

c. Calculate P(B|A). (Round your answer to 3 decimal places.)

P(B|A) = P(B⋂A)/P(A), and since P(B⋂A) = P(A⋂B) = 0.0684 \r\n" );
document.write( "P(B|A) = 0.0684/0.43 = 0.1590697674\r\n" );
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document.write( "You do the rounding off.\r\n" );
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document.write( "Edwin

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