document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1161231>Question 1161231</A>: <I><SPAN STYLE=\"word-break: break-all;\"> for a military mission, engineers are creating an expensive system that relies on an important component.  This component is very delicate and fragile has a probability of failure of 0.32.  they install 6 of these components in parallel, in such a way that they work independently. If any one of these components works, the system works.\r<BR>\n" );
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document.write( "a) what is the probability exactly 1 of these components works?<BR>\n" );
document.write( "b) what is the probability at least 1 of these components works? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #784731 by </B><A HREF=/tutors/aboutme.mpl?userid=ikleyn><B>ikleyn(52798)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ikleyn><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=ikleyn><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=784731\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> .\r<BR>\n" );
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document.write( "Use the binomial probability distribution to solve this problem.\r<BR>\n" );
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document.write( "(a)  P = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=C%5B6%5D%5E1%2A%281-0.32%29%5E1%2A0.32%5E%286-1%29 ALIGN=MIDDLE  ALT=\"C%5B6%5D%5E1%2A%281-0.32%29%5E1%2A0.32%5E%286-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6%2A0.68%2A0.32%5E5 ALIGN=MIDDLE  ALT=\"6%2A0.68%2A0.32%5E5\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 0.01369.    <U>ANSWER</U>\r\n" );
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document.write( "(b)  P = 1 - <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.32%5E6 ALIGN=MIDDLE  ALT=\"0.32%5E6\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1 - 0.998926.      <U>ANSWER</U>\r\n" );
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document.write( "Solved.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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