document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=872596>Question 872596</A>: <I><SPAN STYLE=\"word-break: break-all;\"> ***<BR>\n" );
document.write( "A recent clinical study, a new non-perscription anti-fungal cream showed the success rate to be 87%.  If 12 people purchase the cream and use it as prescribed, what is the probability that at least 10 will have positive results?\r<BR>\n" );
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document.write( "Enter your response as a three digit decimal. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #526253 by </B><A HREF=/tutors/aboutme.mpl?userid=indra89811><B>indra89811(24)</B></A><img src=\"/images/stars/stars-07.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=indra89811><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=indra89811><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=526253\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let p denote the event of success rate.<BR>\n" );
document.write( "p=0.87\r<BR>\n" );
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document.write( "Using the Probability Binomial Distribution formula : <BR>\n" );
document.write( "P(X=r)= n C r (p) ^ r (1-p )^(n-r)\r<BR>\n" );
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document.write( "The probability that at least 10 will have positive result implies that either 10, or 11 or 12 people can have positive result. i.e we are required to find P(X=10) + P(x=11) + P(x=12)\r<BR>\n" );
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document.write( "Using the above formula.\r<BR>\n" );
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document.write( "12 C 10 * (0.87)^10*(0.13)^2      +      12 C 11 (0.87)^11 * (0.13)^1 +           12 C 12 (0.87)^12 *(0.13)^0\r<BR>\n" );
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document.write( "= 0.802 </SPAN>\n" );
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