document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=615234>Question 615234</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A manufacturing process has 100 customer orders to fill. Each order requires one component part that is purchased from a supplier. However, typically, 2% of the components are identified as defective, and the components can be assumed to be independent.<BR>\n" );
document.write( "a. If the manufacturer stocks 100 components, what is the probability that the 100 orders can be filled without reordering components?<BR>\n" );
document.write( "b. If the manufacturer stocks 102 components, what is the probability that the 100 orders can be filled without reordering components?<BR>\n" );
document.write( "c. If the manufacturer stocks 105 components, what is the probability that the 100 orders can be filled without reordering components? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #387039 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=387039\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A manufacturing process has 100 customer orders to fill. Each order requires one component part that is purchased from a supplier. However, typically, 2% of the components are identified as defective, and the components can be assumed to be independent.<BR>\n" );
document.write( "a. If the manufacturer stocks 100 components, what is the probability that the 100 orders can be filled without reordering components?<BR>\n" );
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document.write( "Ans: 0.98^100 = 0.1326<BR>\n" );
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document.write( "b. If the manufacturer stocks 102 components, what is the probability that the 100 orders can be filled without reordering components?<BR>\n" );
document.write( "Ans: 102C100*0.98^100*0.02*2 = 0.2732<BR>\n" );
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document.write( "c. If the manufacturer stocks 105 components, what is the probability that the 100 orders can be filled without reordering components?<BR>\n" );
document.write( "Ans: 105C100*0.98^100*0.02^5 = 0.0410<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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