document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=360552>Question 360552</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Suppose 60% of all people who are eligible for jury duty in a large Florida city are in favor of capital punishment. A jury of 12 is to be randomly selected from among all the prospective jurors in this city. Let X be the number of jurors in the jury who are in favor of capital punishment.\r<BR>\n" );
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document.write( "a) Does X have a binomial distribution? Explain.\r<BR>\n" );
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document.write( "b) What is the probability that 10 of the 12 jury members are in favor of capital punishment?\r<BR>\n" );
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document.write( "c) Find the mean of the distribution and explain what that number means in this context.\r<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 #257328 by </B><A HREF=/tutors/aboutme.mpl?userid=edjones><B>edjones(8007)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=edjones><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=edjones><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=257328\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> a)<BR>\n" );
document.write( "Yes, There are 2 alternatives, either they do or don't believe in the death penalty.<BR>\n" );
document.write( "(x+y)^12 where x=0.6 and y=0.4 <BR>\n" );
document.write( "y are not in favor.<BR>\n" );
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document.write( "b)<BR>\n" );
document.write( "Exactly 10 of 12 are in favor:<BR>\n" );
document.write( "nCr=12C10=66<BR>\n" );
document.write( "66x^10y^2=.0639<BR>\n" );
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document.write( "c)<BR>\n" );
document.write( "0.6*12=7.2 mean of the distribution.<BR>\n" );
document.write( "7.2 means the average number of jurors on a jury of 12 that believe in the death penalty.<BR>\n" );
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document.write( "Ed </SPAN>\n" );
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