document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1194500>Question 1194500</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 1. It is known that 20% of all persons given a certain \"medication\" get very drowsy within 2.5 minutes. Find the probabilities that among 15<BR>\n" );
document.write( "persons given the medications: <BR>\n" );
document.write( "a. at most two will get very drowsy within 2 minutes.<BR>\n" );
document.write( "b. at least five will get very drowsy within 2 minutes.<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #826712 by </B><A HREF=/tutors/aboutme.mpl?userid=Boreal><B>Boreal(15235)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Boreal><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=Boreal><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=826712\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> at most 2 includes 0, 1, and 2<BR>\n" );
document.write( "p(0)=15C0*0.8^15=0.0352<BR>\n" );
document.write( "p(1)=15C1*0.2^1*0.8^14=0.1319<BR>\n" );
document.write( "p(2)=15C2*0.2^2*0.8^13=0.2309<BR>\n" );
document.write( "that total is 0.3980<BR>\n" );
document.write( "Also binomcdf(15,0.2,2)<BR>\n" );
document.write( "-at least 5 can do with 1-bionomcdf(15,0.2,4)=0.1642<BR>\n" );
document.write( "OR do p(3)=15C3*0.2^3*0.8^12 and p(4)=15C4*0.2^4*0.8^11, sum those to the three above and subtract from 1.<BR>\n" );
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