document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1011230>Question 1011230</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 38% of adults say cashews are their favorite kind of nut. You randomly select 12 adults and ask each to name his or her favorite nut. Find the probability that the number who say cashews are their favorite nut is (a) exactly three, (b) at least four, and (c) at most two. If convenient, use technology to find the possibilities. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #626838 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=626838\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Exactly 3<BR>\n" );
document.write( "12C3*(.38^3)*(.62^9)=0.1634  ANSWER TO A<BR>\n" );
document.write( "Exactly 2=12C2(0.38^2)(0.62^10)=0.0800<BR>\n" );
document.write( "Exactly 1=12*0.38*0.62^11=0.0237<BR>\n" );
document.write( "0=0.62^12=0.0032<BR>\n" );
document.write( "At least 4 is 1-the probability of 0,1,2,3=1-0.2703=0..7297<BR>\n" );
document.write( "at most 2 is P(2,1,0)=0.1069.<BR>\n" );
document.write( "As a side note the expected value if 12*0.38=4.56, so 4 and 5 will be a large portion of the probability.  This serves as a check for \"at least 4\".<BR>\n" );
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