document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=185999>Question 185999</A>: <I><SPAN STYLE=\"word-break: break-all;\"> This is a college stats problem-<BR>\n" );
document.write( "In testing a new drug, researchers found that 5% of all patients using it will have a mild side effect. A random sample of 11 patients using the drug is selected. Find the probability that:<BR>\n" );
document.write( "a) exactly 2 will have this mild side effect<BR>\n" );
document.write( "I can't figure this part out- 11/9*2???<BR>\n" );
document.write( "b) at least 1 will have this mild side effect<BR>\n" );
document.write( "   1 - (0.95^11) = 0.4312\r<BR>\n" );
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document.write( "Thanks </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #139480 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=139480\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> In testing a new drug, researchers found that 5% of all patients using it will have a mild side effect. A random sample of 11 patients using the drug is selected. Find the probability that:<BR>\n" );
document.write( "a) exactly 2 will have this mild side effect<BR>\n" );
document.write( "Ans: binompdf(11,0.05,2) = 0.0867<BR>\n" );
document.write( "Another way to get that answer P(x=2) = 11C2(0.5)^2*(0.95)^9 = 55*0.0025*0.6302<BR>\n" );
document.write( "= 0.0867<BR>\n" );
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document.write( "b) at least 1 will have this mild side effect<BR>\n" );
document.write( "Ans: 1 - binompdf(11,0.05,0) = 0.4312<BR>\n" );
document.write( "-------------<BR>\n" );
document.write( "Another way: P(1<=x<=11) = 1-P(x=0) = 1- 11C0(0.05)^0(0.95)^11 <BR>\n" );
document.write( "= 1 - 1*1*0.95^11 = 1-5688= 0.4312<BR>\n" );
document.write( "========================================<BR>\n" );
document.write( "You must let me know if you do not understand these answers.<BR>\n" );
document.write( "It is essential that you understand how to calculate binomial<BR>\n" );
document.write( "probabilities.<BR>\n" );
document.write( "========================================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );