document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1201897>Question 1201897</A>: <I><SPAN STYLE=\"word-break: break-all;\"> What are the chances that a person who is murdered actually knew the murdered? The answer to this question explains why a lot of police detective work begins with relatives and friends of the victim. About 64% of people who are murdered actually knew the person who committed the murder. Suppose that a detective has 63 current unsolved murders.<BR>\n" );
document.write( "What is the probability that at least 35 of the victims knew their murderers? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #836561 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=836561\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> p = .64<BR>\n" );
document.write( "q = .36<BR>\n" );
document.write( "n = 63<BR>\n" );
document.write( "assuming this is a binomial distribution type problem, i get the probability that at least 35 of the 63 victims knew their murderers is equal to 0.935075905.<BR>\n" );
document.write( "the formula for the binomial distribution type of problem is p(x) = p^x * q^(n-x) * c(n,x).<BR>\n" );
document.write( "since the number of calculations were large (x = 35 to 63), i used excel to do the arithmetic for me.<BR>\n" );
document.write( "the sum of all the probbilities (x = 0 to 63) was equal to 1, as it should be.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );