document.write( "Question 1183236: A new sports car model has defective brakes 8 percent of the time and a defective steering mechanism 4 percent of the time. Let’s assume (and hope) that these problems occur independently. If one or the other of these problems is present, the car is called a “lemon.” If both of these problems are present, the car is a “hazard.” Your instructor purchased one of these cars yesterday. What is the probability it is a “lemon?” \n" ); document.write( "

Algebra.Com's Answer #813451 by ikleyn(52873) $\"\"$ $\"About$

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\n" ); document.write( "A new sports car model has defective brakes 8 percent of the time and a defective steering mechanism 4 percent of the time.
\n" ); document.write( "Let’s assume (and hope) that these problems occur independently.
\n" ); document.write( "If one or the other of these problems is present, the car is called a “lemon.”
\n" ); document.write( "If both of these problems are present, the car is a “hazard.”
\n" ); document.write( "Your instructor purchased one of these cars yesterday. What is the probability it is a “lemon?”
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document.write( "P(both) = 0.08*0.04 = 0.0032.\r\n" );
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document.write( "P(lemon) = P(brakes are defective, steering is OK) + P(brakes are OK, steering is defective) = \r\n" );
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document.write( "         = (0.08 - 0.0032) + (0.04-0.0032) = 0.1136 = 11.36%.    ANSWER\r\n" );
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\n" ); document.write( "\n" ); document.write( "Solved and explained.\r
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