document.write( "Question 1133368: Factories A and B produce computers. Factory A produces 3 times as many computers as factory B. The probability that an item produced by factory A is defective is 0.024 and the probability that an item produced by factory B is defective is 0.038.
\n" ); document.write( "A computer is selected at random and it is found to be defective. What is the probability it came from factory A?
\n" ); document.write( "

Algebra.Com's Answer #750571 by ikleyn(52790)\"\" \"About 
You can put this solution on YOUR website!
.
\n" ); document.write( "
\r\n" );
document.write( "This probability is the ratio of two numbers:\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "    - the numerator is the number of defective computers produced by Factory A.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "    - the denominator is the total number of defective computers produced by both factories.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "    P = \"%280.024%2A%283x%29%29%2F%280.024%2A%283x%29+%2B+0.038%2Ax%29\" = cancel x in the numerator and in the denominator = \"%280.024%2A3%29%2F%280.024%2A3+%2B+0.038%29\" = use your calculator.\r\n" );
document.write( "
\r
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
\n" );