document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=436362>Question 436362</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Military radar and missile detection system are designed to warn a country of an enemy attack.  A										<BR>\n" );
document.write( "reliability question is whether a detection system will be able to identify an attack and issue a warning.										<BR>\n" );
document.write( "Assume that a particular detection system has a .90 probability of detecting a missile attack. 										<BR>\n" );
document.write( "										<BR>\n" );
document.write( "a.  What is the probability that single detection system will detect the attack?										<BR>\n" );
document.write( "b.  If two detection systems are installed in the same area and operating independently, what is the 										<BR>\n" );
document.write( "   probability that at least one of the systems will detect the attack?										<BR>\n" );
document.write( "c.  If three systems are installed, what is the probability that at least one of the systems will detect										<BR>\n" );
document.write( "the attack?										<BR>\n" );
document.write( "d.  Would you recommend the multiple detection systems be used?  Explain.										<BR>\n" );
document.write( "										 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #301896 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=301896\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Military radar and missile detection system are designed to warn a country of an enemy attack.  A reliability question is whether a detection system will be able to identify an attack and issue a warning.										<BR>\n" );
document.write( "Assume that a particular detection system has a 0.90 probability of detecting a missile attack. 								<BR>\n" );
document.write( "										<BR>\n" );
document.write( "a.  What is the probability that single detection system will detect the attack?Ans: 0.9<BR>\n" );
document.write( "=================								<BR>\n" );
document.write( "b.  If two detection systems are installed in the same area and operating independently, what is the probability that at least one of the systems will detect the attack?<BR>\n" );
document.write( "P(at least one) = 1-P(none detect)<BR>\n" );
document.write( "= 1 -0.1^2<BR>\n" );
document.write( "= 1-0.01<BR>\n" );
document.write( "= 0.99<BR>\n" );
document.write( "-------------<BR>\n" );
document.write( "										<BR>\n" );
document.write( "c.  If three systems are installed, what is the probability that at least one of the systems will detect the attack?<BR>\n" );
document.write( "1-(0.01)^3 = 1- 0.000001 = 0.999999						-----------------------------------	                                                                        										<BR>\n" );
document.write( "d.  Would you recommend the multiple detection systems be used?  Explain<BR>\n" );
document.write( "I'll leave that to you.<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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