document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1052507>Question 1052507</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Successful implementation of a new system is based on three independent modules. Module<BR>\n" );
document.write( "1 works properly with probability 0.96. For modules 2 and 3, these probabilities equal 0.95<BR>\n" );
document.write( "and 0.90. Compute the probability that at least one of these three modules fails to work<BR>\n" );
document.write( "properly. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #667846 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=667846\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Do it backwards, find the probability that none fail to work.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P=0.96%2A0.95%2A0.90 ALIGN=MIDDLE  ALT=\"P=0.96%2A0.95%2A0.90\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P=0.8208 ALIGN=MIDDLE  ALT=\"P=0.8208\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The complement of this calculated probability is that at least one of the modules fails to work.<BR>\n" );
document.write( "So,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P=1-0.8208 ALIGN=MIDDLE  ALT=\"P=1-0.8208\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P=0.1792 ALIGN=MIDDLE  ALT=\"P=0.1792\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );