document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1008366>Question 1008366</A>: <I><SPAN STYLE=\"word-break: break-all;\">  An information technology company produces 44% of its computer chips at a plant in St. Louis and the remainder of its chips at a plant in Chicago. It is known that 0.75% of the chips produced in St. Louis are defective, while 0.95% of the chips produced at the plant in Chicago are defective. What is the probability that a randomly chosen computer chip produced by this company is defective and was produced in St. Louis? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #624094 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=624094\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let's say there are 100,000 chips total\r<BR>\n" );
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document.write( "44% of the chips are made in St. Louis, so 0.44*100,000 = 44,000 chips are made in St. Louis\r<BR>\n" );
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document.write( "The remaining 100,000 - 44,000 = 56,000 chips are made in Chicago.\r<BR>\n" );
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document.write( "\" 0.75% of the chips produced in St. Louis are defective\" which means (0.75/100)*44,000 = 330 chips are defective at the St. Louis plant.\r<BR>\n" );
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document.write( "There are 330 chips that are defective AND that are produced at the St. Louis plant\r<BR>\n" );
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document.write( "This is out of 100,000 chips total\r<BR>\n" );
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document.write( "Divide the two values: 330/100,000 = 0.0033<BR>\n" );
document.write( " = 0.33%<BR>\n" );
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document.write( "Question: What is the probability that a randomly chosen computer chip produced by this company is defective and was produced in St. Louis?\r<BR>\n" );
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document.write( "Answer: 0.33%<BR>\n" );
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