document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=346629>Question 346629</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 4. 	Suppose that 7% of the bolts produced by a machine are defective.  If 10 bolts are chosen from a huge shipment and inspected, determine the probability that\r<BR>\n" );
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document.write( "a. 	 exactly one bolt is defective<BR>\n" );
document.write( "b. 	at least two bolts are defective<BR>\n" );
document.write( "c. 	at most one bolt is defective<BR>\n" );
document.write( "d. 	at least one bolt is defective.<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #247820 by </B><A HREF=/tutors/aboutme.mpl?userid=Fombitz><B>Fombitz(32388)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Fombitz><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=Fombitz><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=247820\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> For <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0 ALIGN=MIDDLE  ALT=\"0\"   DISABLED_style= \"max-width:90%; height:auto;\" > failures,<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P=1%2A%280.93%29%5E10%2A%280.07%29%5E0=0.48398 ALIGN=MIDDLE  ALT=\"P=1%2A%280.93%29%5E10%2A%280.07%29%5E0=0.48398\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "For <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1 ALIGN=MIDDLE  ALT=\"1\"   DISABLED_style= \"max-width:90%; height:auto;\" > failure, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P=10%2A%280.93%29%5E9%2A%280.07%29%5E1=0.36429 ALIGN=MIDDLE  ALT=\"P=10%2A%280.93%29%5E9%2A%280.07%29%5E1=0.36429\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "For <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2 ALIGN=MIDDLE  ALT=\"2\"   DISABLED_style= \"max-width:90%; height:auto;\" > failures,<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P=45%2A%280.93%29%5E8%2A%280.07%29%5E2=0.12339 ALIGN=MIDDLE  ALT=\"P=45%2A%280.93%29%5E8%2A%280.07%29%5E2=0.12339\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Those are the only values we need to solve the problem.<BR>\n" );
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document.write( ".<BR>\n" );
document.write( "Now let's work through the problem.<BR>\n" );
document.write( "a) Exactly 1 bolt failure, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28P=0.36429%29 ALIGN=MIDDLE  ALT=\"highlight%28P=0.36429%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
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document.write( "b) At least <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2 ALIGN=MIDDLE  ALT=\"2\"   DISABLED_style= \"max-width:90%; height:auto;\" > bolt failures, means <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2 ALIGN=MIDDLE  ALT=\"2\"   DISABLED_style= \"max-width:90%; height:auto;\" > failures or more.<BR>\n" );
document.write( "In other words, not <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0 ALIGN=MIDDLE  ALT=\"0\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1 ALIGN=MIDDLE  ALT=\"1\"   DISABLED_style= \"max-width:90%; height:auto;\" > failures(<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1-%28P%280%29%2BP%281%29%29 ALIGN=MIDDLE  ALT=\"1-%28P%280%29%2BP%281%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >).<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P%280%29%2BP%281%29=0.48398%2B0.36429=0.84825 ALIGN=MIDDLE  ALT=\"P%280%29%2BP%281%29=0.48398%2B0.36429=0.84825\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "You know that<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P%280%29%2BP%281%29%2BP%282%29%2BP%283%29%2BP%284%29%2BP%285%29%2BP%286%29%2BP%287%29%2BP%288%29%2BP%289%29%2BP%2810%29=1 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "So then,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P%282%29%2BP%283%29%2BP%284%29%2BP%285%29%2BP%286%29%2BP%287%29%2BP%288%29%2BP%289%29%2BP%2810%29=1-P%280%29-P%281%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P%282%29%2BP%283%29%2BP%284%29%2BP%285%29%2BP%286%29%2BP%287%29%2BP%288%29%2BP%289%29%2BP%2810%29=1-0.84825 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P%282%29%2BP%283%29%2BP%284%29%2BP%285%29%2BP%286%29%2BP%287%29%2BP%288%29%2BP%289%29%2BP%2810%29=highlight%280.15175%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
document.write( ".<BR>\n" );
document.write( "c)At most <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1 ALIGN=MIDDLE  ALT=\"1\"   DISABLED_style= \"max-width:90%; height:auto;\" > bolt, means <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0 ALIGN=MIDDLE  ALT=\"0\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1 ALIGN=MIDDLE  ALT=\"1\"   DISABLED_style= \"max-width:90%; height:auto;\" > failures.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P%280%29%2BP%281%29=highlight%280.84825%29 ALIGN=MIDDLE  ALT=\"P%280%29%2BP%281%29=highlight%280.84825%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
document.write( ".<BR>\n" );
document.write( "d)At least <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1 ALIGN=MIDDLE  ALT=\"1\"   DISABLED_style= \"max-width:90%; height:auto;\" > bolt failure, means not <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0 ALIGN=MIDDLE  ALT=\"0\"   DISABLED_style= \"max-width:90%; height:auto;\" > failures (<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1-P%280%29 ALIGN=MIDDLE  ALT=\"1-P%280%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >).<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P%281%29%2BP%282%29%2BP%283%29%2BP%284%29%2BP%285%29%2BP%286%29%2BP%287%29%2BP%288%29%2BP%289%29%2BP%2810%29=1-P%280%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P%281%29%2BP%282%29%2BP%283%29%2BP%284%29%2BP%285%29%2BP%286%29%2BP%287%29%2BP%288%29%2BP%289%29%2BP%2810%29=1-0.48398 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P%281%29%2BP%282%29%2BP%283%29%2BP%284%29%2BP%285%29%2BP%286%29%2BP%287%29%2BP%288%29%2BP%289%29%2BP%2810%29=highlight%280.51602%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " </SPAN>\n" );
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