document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1001229>Question 1001229</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A computer has 100 components. The probability that a component will fail is 0.0022. Assuming that the components function independently, what is the probability that between 1 and 3 components will fail??\r<BR>\n" );
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document.write( "Confused as to how to even start this question. An explanation of the solution would be greatly appreciated! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #618657 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=618657\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The probability of failure can be modeled as a function of the number of components that fail,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P%28x%29=C%28100%2Cx%29%2A%281-0.0022%29%5E%28100-x%29%280.0022%29%5E%28x%29 ALIGN=MIDDLE  ALT=\"P%28x%29=C%28100%2Cx%29%2A%281-0.0022%29%5E%28100-x%29%280.0022%29%5E%28x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "So for between 1 and 3 components failing calculate <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P%281%29 ALIGN=MIDDLE  ALT=\"P%281%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P%282%29 ALIGN=MIDDLE  ALT=\"P%282%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P%283%29 ALIGN=MIDDLE  ALT=\"P%283%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > and sum the probabilities.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=C%28100%2C1%29=100 ALIGN=MIDDLE  ALT=\"C%28100%2C1%29=100\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=C%28100%2C2%29=4950 ALIGN=MIDDLE  ALT=\"C%28100%2C2%29=4950\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=C%28100%2C3%29=161700 ALIGN=MIDDLE  ALT=\"C%28100%2C3%29=161700\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
document.write( ".<BR>\n" );
document.write( ".\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P%281%29=+100%2A%280.9978%29%5E99%2A%280.0022%29%5E1+=0.1769 ALIGN=MIDDLE  ALT=\"P%281%29=+100%2A%280.9978%29%5E99%2A%280.0022%29%5E1+=0.1769\"   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=+4950%2A%280.9978%29%5E98%2A%280.0022%29%5E2+=0.01931 ALIGN=MIDDLE  ALT=\"P%282%29=+4950%2A%280.9978%29%5E98%2A%280.0022%29%5E2+=0.01931\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P%283%29=+161700%2A%280.9978%29%5E97%2A%280.0022%29%5E3+=0.001391 ALIGN=MIDDLE  ALT=\"P%283%29=+161700%2A%280.9978%29%5E97%2A%280.0022%29%5E3+=0.001391\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "So then,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P=0.1769%2B0.01931%2B0.001391 ALIGN=MIDDLE  ALT=\"P=0.1769%2B0.01931%2B0.001391\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P=0.1976 ALIGN=MIDDLE  ALT=\"P=0.1976\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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