document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=345439>Question 345439</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The Transportation Safety Authority (TSA) has developed a new test to detect large amounts of liquid in luggage bags. Based on many test runs, the TSA determines that if a bag does contain large amounts of liquid, there is a probability of 0.92 the test will detect it. If a bag does not contain large amounts of liquid, there is a 0.1 probability the test will conclude that it does (a false positive). Suppose that in reality only 3 in 100 bags actually contain large amounts of liquid. \r<BR>\n" );
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document.write( "A)What is the probability a randomly selected bag will have a positive test? Give your answer to four decimal places. <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 #247047 by </B><A HREF=/tutors/aboutme.mpl?userid=haileytucki><B>haileytucki(390)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=haileytucki><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=haileytucki><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=247047\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> q1<BR>\n" );
document.write( "P[ +ve ] = P[ large & + ve ] + P[ small & +ve ]<BR>\n" );
document.write( "= 2/100 x 98/100 + 98/100 x 10/100<BR>\n" );
document.write( "= [196 + 980] /10^4 <BR>\n" );
document.write( "=1176/10^4<BR>\n" );
document.write( "=0.1176\r<BR>\n" );
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document.write( "q2<BR>\n" );
document.write( "P[ large | +ve ] = P[large & +ve] / P[+ve]<BR>\n" );
document.write( "= 196/1176<BR>\n" );
document.write( "=0.1667\r<BR>\n" );
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document.write( "q3<BR>\n" );
document.write( "P[ smll | +ve ] = P[small & +ve] / P[+ve]<BR>\n" );
document.write( "= 980/1176<BR>\n" );
document.write( "= 0.8333 </SPAN>\n" );
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