document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=74535>Question 74535</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 #53533 by </B><A HREF=/tutors/aboutme.mpl?userid=funmath><B>funmath(2933)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=funmath><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=53533\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> use this data.<BR>\n" );
document.write( "                                          <BR>\n" );
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( "The number of people who told a lie is x=3+17=20<BR>\n" );
document.write( "The total number of people in the sample is n=100<BR>\n" );
document.write( "P(x)=x/s<BR>\n" );
document.write( "The probability of selecting a person who told a lie is:P(x)=x/n;  20/100=.20<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( "The number of people who the polygraph test indicated a lie is x=15+17=32<BR>\n" );
document.write( "n=100<BR>\n" );
document.write( "The probability of selecting someone who the polygraph indicated was lying is:P(x)=x/n; 32/100=.32<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( "For \"or\" apply the addition rule: P(A or B)=P(A)+P(B)-P(AnB) (imagine n to be the union symbol)<BR>\n" );
document.write( "P(someone told a lie)=.20  (refer to Q1)<BR>\n" );
document.write( "P(polygraph indicated a lie)=.32<BR>\n" );
document.write( "P(someone told a lie union the polygraph indicated a lie)=17/100=.17<BR>\n" );
document.write( "P(someone told a lie \"or\" the polygraph indicated a lie)=.20+.32-.17=.35<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( "P(someone told the truth)=(65+15)/100=80/100=.80<BR>\n" );
document.write( "P(polygraph indicated truth)=(65+3)/100=68/100=.68<BR>\n" );
document.write( "P(told the truth union polygraph indicated truth)=65/100=.65<BR>\n" );
document.write( "P(someone told the truth \"or\" the polygraph indicated truth)=.80+.68-.65=.83<BR>\n" );
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document.write( "Q5. If 2 diffrent subjects are randomly selected, find the probability that they both told the truth.<BR>\n" );
document.write( "For \"and\" (implied by \"both\") use multiplication rule: P(A and B)=P(A)*P(B|A)<BR>\n" );
document.write( "P(first one told the truth)=(65+15)/100=80/100=.80<BR>\n" );
document.write( "P(the second one told the truth given that the first one did)=(80-1)/(100-1)=79/99=.79798<BR>\n" );
document.write( "P(they both told the truth)=(.80)(.79798)=.638384 or about .64<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( "This is done the same way as Q5, you should get .100202 or .10<BR>\n" );
document.write( "Let me know if you don't.<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( "The number of people that told the truth and the polygraph indicated a lie is: x=15<BR>\n" );
document.write( "The number that the polygraph indicated was lying: n=15+17=32<BR>\n" );
document.write( "P(told the truth given that the polygraph indicated a lie)=15/32=.46875 or about .47<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( "This is done the same way as Q7, you should get: .1875 or about .19<BR>\n" );
document.write( "Let me know if you don't<BR>\n" );
document.write( "Remember, I'm a human being.  Double check everything.  Let me know if you don't get the same thing I got.<BR>\n" );
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document.write( "Happy Calculating!!!!<BR>\n" );
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