document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=805455>Question 805455</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A brand name has an 80% recognition rate.  If the owner of the brand wants to verify that rate by beginning with a small sample of 5 randomly selected consumers, find the probability that exactly 4 of the 5 consumers recognize the brand name.  Also find the probability that the number who recognize the brand is not 4. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #485227 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=485227\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A brand name has an 80% recognition rate. If the owner of the brand wants to verify that rate by beginning with a small sample of 5 randomly selected consumers,<BR>\n" );
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document.write( "Binomial Problems with n = 5 and p(recognize) = 0.8<BR>\n" );
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document.write( "Find the probability that exactly 4 of the 5 consumers recognize the brand name.<BR>\n" );
document.write( "P(x = 4) = 5C4(0.8)^4*(0.2) = binompdf(5,0.8,4) = 0.4096<BR>\n" );
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document.write( "Also find the probability that the number who recognize the brand is not 4.<BR>\n" );
document.write( "P(x # 4) = 1 - 0.4096 = 0.5604<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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