document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=997962>Question 997962</A>: <I><SPAN STYLE=\"word-break: break-all;\"> In a certain assembly plant, three machines, A, B, and C, make 34%, 20%, and 46%, respectively, of the products. It is known from past experience that 3%, 3%, and 2% of the products made by each machine, respectively are defective.<BR>\n" );
document.write( "a)	Draw a tree diagram of the scenario. <BR>\n" );
document.write( "b)	If a product is chosen at random, what is the probability that it is defective? <BR>\n" );
document.write( "c)	Given a randomly selected product was found to be defective, what is the probability it was made by machine C?<BR>\n" );
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document.write( "I know it said to not post multiple questions. But, I am having such a hard time with this class. I am in ST 314. In class I get where she is headed, but then at home it just doesn't make any sense. I feel like there is a million different formulas and I don't know which one to use.<BR>\n" );
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document.write( "A) I know what the diagram looks like. I looked at her example on line but I don't see how that relates to this problem at all.\r<BR>\n" );
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document.write( "B) I feel like you have to add together somehow the 34%, the 20%, and the 46% in order to get a correct probability.\r<BR>\n" );
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document.write( "C) Then I assume this is similar to part B. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #615882 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><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=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=615882\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font face=\"Times New Roman\" size=\"+2\">\r<BR>\n" );
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document.write( "Part B.  Pct made on A times pct defective on A PLUS Pct made on B times pct defective on B PLUS Pct made on C times pct defective on C.\r<BR>\n" );
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document.write( "Part C.  Bayes Theorem.  The probability of machine C given part Defective is the (Probability part made on C TIMES Probability part defective given it was made on C) DIVIDED by the Probability the part is defective at all.\r<BR>\n" );
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document.write( "So, (.46 times .02)/(The answer to part B)\r<BR>\n" );
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document.write( "John<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE e^{i\pi}\ +\ 1\ =\ 0\"><BR>\n" );
document.write( "My calculator said it, I believe it, that settles it\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large \ \\r\"> </SPAN>\n" );
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