document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=444691>Question 444691</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A personal computer manufacturer buys 43 % of its chips from Japan and the rest from America. 2 % of the Japanese chips are defective and 1.1 % of the American chips are defective.\r<BR>\n" );
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document.write( "1. Find the probability that a chip is defect-free.   <BR>\n" );
document.write( "2. Find the probability that a chip is defective and made in Japa </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #306479 by </B><A HREF=/tutors/aboutme.mpl?userid=robertb><B>robertb(5830)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=robertb><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/cgi-bin/show-face.mpl?user=robertb><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=306479\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> P(defect-free) = P(defect-free AND from Japan) + P(defect-free AND from America) =  = P(defect-free|from Japan)*P(from Japan) + P(defect-free| from America)*P(from America) = 0.98*0.43 + 0.989*0.57 = 0.98513.  Or 98.513%.\r<BR>\n" );
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document.write( "P(defective AND from Japan) = P(defect|from Japan)*P(from Japan)  = 0.02*0.43 = 0.0086, or 0.86 %. </SPAN>\n" );
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