document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=747897>Question 747897</A>: <I><SPAN STYLE=\"word-break: break-all;\"> It is estimated that, in jury trials, the jury will reach the correct decision <BR>\n" );
document.write( "(guilty or not guilty) 92% of the time. In 200 randomly selected jury trials, <BR>\n" );
document.write( "a. what is the probability that the jury will reach the correct decision in at least 175 of the trials?<BR>\n" );
document.write( "b. what is the probability that there will be fewer than 180 correct decisions?<BR>\n" );
document.write( "c. What is the probability that there will be exactly 184 correct decisions?\r<BR>\n" );
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document.write( "(Why does the binomial theorem give a different answer than finding the z score and looking up p in the normal table?) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #455338 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=455338\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> It is estimated that, in jury trials, the jury will reach the correct decisio<BR>\n" );
document.write( "(guilty or not guilty) 92% of the time. In 200 randomly selected jury trials,<BR>\n" );
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document.write( "Binomial with n = 200 and p(correct) = 0.92<BR>\n" );
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document.write( "a. what is the probability that the jury will reach the correct decision in at least 175 of the trials?<BR>\n" );
document.write( "P(x >= 175) = 1 - P(0<= x <=174) = 0.9901<BR>\n" );
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document.write( "b. what is the probability that there will be fewer than 180 correct decisions?<BR>\n" );
document.write( "P(0<= x <=179) = 0.1225<BR>\n" );
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document.write( "c. What is the probability that there will be exactly 184 correct decisions?<BR>\n" );
document.write( "P(x = 184) = binompdf(200,0.92,184) = 0.1034<BR>\n" );
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document.write( "(Why does the binomial theorem give a different answer than finding the z score and looking up p in the normal table?)<BR>\n" );
document.write( "The probability of ANY spedific number is zero in a continuous distribution.<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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