document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=447361>Question 447361</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. \r<BR>\n" );
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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" );
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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 #307982 by </B><A HREF=/tutors/aboutme.mpl?userid=sudhanshu_kmr><B>sudhanshu_kmr(1152)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=sudhanshu_kmr><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=sudhanshu_kmr><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=307982\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <BR>\n" );
document.write( "a) probability that single system will detect = .9 =  9/10  \r<BR>\n" );
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document.write( "b) probability that none of two system will detect = 1/10 * 1/10 = 1/100\r<BR>\n" );
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document.write( "now, probability that at least one of two system will detect the attack\r<BR>\n" );
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document.write( "= 1 - 1/100 = 99/100\r<BR>\n" );
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document.write( "c)similarly,  probability that none of three system will detect attack = 1/1000\r<BR>\n" );
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document.write( "probability that at least one of three will detect the attack = 999/1000\r<BR>\n" );
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document.write( " </SPAN>\n" );
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