document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1120596>Question 1120596</A>: <I><SPAN STYLE=\"word-break: break-all;\"> &#8203;32% 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&#8203; (a) exactly&#8203; three, (b) at least&#8203; four, and&#8203; (c) at most two. If&#8203; convenient, use technology to find the probabilities\r<BR>\n" );
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document.write( "(a) &#8203;P(3)=_____________ </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #736701 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=736701\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> For 3 this is 12C3, the number of ways it can happen *.32^3*0.68^9=0.2241 \r<BR>\n" );
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document.write( "At least 4 is 1-biomialcdf(12,.32,3)=0.5681\r<BR>\n" );
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document.write( "At most 2 is 0,1,2<BR>\n" );
document.write( "for 0 it is .68^12 or 0.0098<BR>\n" );
document.write( "for 1 it is 12*.32*.68^11 or 0.0552<BR>\n" );
document.write( "for 2 it is 66*.32^2*.68^10 or 0.1428<BR>\n" );
document.write( "That probability total is 0.2078<BR>\n" );
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