document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=349551>Question 349551</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 70% of the people who tried a hamburger liked it. 8 customers bought it for the first time.\r<BR>\n" );
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document.write( "find the probability that at exactly 5 people like the hamburger </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #249837 by </B><A HREF=/tutors/aboutme.mpl?userid=Jk22><B>Jk22(389)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Jk22><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=Jk22><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=249837\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> a) This is a contradiction : if 5 out of 8 liked, this is 5/8=62.5% which is not 70% who normally should like<BR>\n" );
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document.write( "b) If the prob. somebody eating an hamburger like it is 0.7, then :<BR>\n" );
document.write( "choosing 5 people out of 8 gives : C(8,5)=8*7*6/(3*2)=8*7=56 possibilities.<BR>\n" );
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document.write( "prob that these 5 like the ham. : 0.7^5<BR>\n" );
document.write( "prob that the 3 remaining don't : 0.3^3<BR>\n" );
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document.write( "hence P=56*.7^5*0.3^3=0.254 </SPAN>\n" );
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