document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=836381>Question 836381</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 37% 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. <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 #504145 by </B><A HREF=/tutors/aboutme.mpl?userid=reviewermath><B>reviewermath(1029)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=reviewermath><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=reviewermath><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=504145\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 37% 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 \r<BR>\n" );
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document.write( "X~Binomial(12, 0.37)<BR>\n" );
document.write( "(a) exactly three<BR>\n" );
document.write( "P(X = 3) = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28matrix%282%2C1%2C12%2C3%29%29%280.37%5E3%29%280.63%5E9%29 ALIGN=MIDDLE  ALT=\"%28matrix%282%2C1%2C12%2C3%29%29%280.37%5E3%29%280.63%5E9%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%280.1742%29 ALIGN=MIDDLE  ALT=\"highlight%280.1742%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "(b) at least four<BR>\n" );
document.write( "P(X &#8805; 4) = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sum%28+%28matrix%282%2C1%2C12%2Cx%29%29%280.37%5Ex%29%280.63%5E%2812-x%29%29%2C+x+=+4%2C+12+%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%280.7053%29 ALIGN=MIDDLE  ALT=\"highlight%280.7053%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "(c) at most two.<BR>\n" );
document.write( "P(X &#8804; 2) = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sum%28+%28matrix%282%2C1%2C12%2Cx%29%29%280.37%5Ex%29%280.63%5E%2812-x%29%29%2C+x+=+0%2C+2+%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%280.1205%29 ALIGN=MIDDLE  ALT=\"highlight%280.1205%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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