document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=74534>Question 74534</A>: <I><SPAN STYLE=\"word-break: break-all;\"> use this data.<BR>\n" );
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document.write( "subject actually told the truth and polygraph indicated truth 65<BR>\n" );
document.write( "subject actually told the truth and polygraph indicated lie 15<BR>\n" );
document.write( "subject actually told a lie and polygraph indicated truth 3<BR>\n" );
document.write( "subject actually told a lie and polygraph indicated lie 17 \r<BR>\n" );
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document.write( "Q1. If 1 of the 100 subjects is randomly selected, find the probability of getting someone who told a lie.<BR>\n" );
document.write( "Q2.If 1 of the 100 subjects is randomly selected, find the probability of getting someone for whom the polygraph test indicted that a lie was being told.<BR>\n" );
document.write( "Q3.If 1 of the 100 subjects is randomly selected, find the probability of getting someone who told a lie or had the polygraph test indicated that a lie was being told.<BR>\n" );
document.write( "Q4.If 1 of the 100 subjects is randomly selected, find the probability of getting someone who told the truth or had the polygraph test indicate that the truth was being told.<BR>\n" );
document.write( "Q5. If 2 diffrent subjects are randomly selected, find the probability that they both told the truth.<BR>\n" );
document.write( "Q6.If 2 different subjects are randomly selected, find the probability that they both had the polygraph test indicate that a lie was being told.<BR>\n" );
document.write( "Q7.If 1 subject is randomly selected, find the probability that he or she told the truth, given that the polygraph test indicated that a lie was being told.<BR>\n" );
document.write( "Q8. If 1 subject is randomly selected, find the probability that he or she has a polygraph test indication that a lie was being told, given that the subject actually told the truth.\r<BR>\n" );
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document.write( "Thank you i look forward to your answers.   <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 #53539 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=53539\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> subject actually told the truth and polygraph indicated truth 65<BR>\n" );
document.write( "subject actually told the truth and polygraph indicated lie 15<BR>\n" );
document.write( "subject actually told a lie and polygraph indicated truth 3<BR>\n" );
document.write( "subject actually told a lie and polygraph indicated lie 17<BR>\n" );
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document.write( "Draw a \"Contingency Table\" with <BR>\n" );
document.write( "two rows: Poly said true;and Poly said lied<BR>\n" );
document.write( "two columns: Acutually told truth; Actually Lied<BR>\n" );
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document.write( "Q1. If 1 of the 100 subjects is randomly selected, find the probability of getting someone who told a lie.<BR>\n" );
document.write( "(3+17)/100 = 1/5<BR>\n" );
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document.write( "Q2.If 1 of the 100 subjects is randomly selected, find the probability of getting someone for whom the polygraph test indicted that a lie was being told.<BR>\n" );
document.write( "(15+17)/100 = 32/100<BR>\n" );
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document.write( "Q3.If 1 of the 100 subjects is randomly selected, find the probability of getting someone who told a lie or had the polygraph test indicated that a lie was being told.<BR>\n" );
document.write( "(20+3-17)/100 = 35/100<BR>\n" );
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document.write( "Q4.If 1 of the 100 subjects is randomly selected, find the probability of getting someone who told the truth or had the polygraph test indicate that the truth was being told.<BR>\n" );
document.write( "(80+68-65)/100 = 83/100<BR>\n" );
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document.write( "Q5. If 2 different subjects are randomly selected, find the probability that they both told the truth.<BR>\n" );
document.write( "80C2/100C2 = 0.638...<BR>\n" );
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document.write( "Q6.If 2 different subjects are randomly selected, find the probability that they both had the polygraph test indicate that a lie was being told.<BR>\n" );
document.write( "32C2/100C2 = 0.100...<BR>\n" );
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document.write( "Q7.If 1 subject is randomly selected, find the probability that he or she told the truth, given that the polygraph test indicated that a lie was being told.<BR>\n" );
document.write( "P(told truth|poly said lied) = 15/32<BR>\n" );
document.write( "To get this \" look only at the \"poly said lied\" row which has a total of 32<BR>\n" );
document.write( "Then find the intersecting box for \"told the truth\" = 15<BR>\n" );
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document.write( "Q8. If 1 subject is randomly selected, find the probability that he or she has a polygraph test indication that a lie was being told, given that the subject actually told the truth. <BR>\n" );
document.write( "P(Poly said lied | person told truth)<BR>\n" );
document.write( "Look at column for \"told the truth\" = 80<BR>\n" );
document.write( "Find intersecting box \"Poly said lied\" = 15<BR>\n" );
document.write( "P(...) = 15/80<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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