document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=755569>Question 755569</A>: <I><SPAN STYLE=\"word-break: break-all;\"> In a recent survey eighteen percent of high school students said their favorite cookie was macadamia-white chocolate. You randomly select 4 students and ask each person to name their favorite cookie. Find the probability that the number who say macadamia-white chocolate is their favorite cookie is: \r<BR>\n" );
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document.write( "A) exactly 2<BR>\n" );
document.write( "B) less than 3 <BR>\n" );
document.write( "C) at least 3 <BR>\n" );
document.write( "D) greater than 1 <BR>\n" );
document.write( "E) at most 2 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #459723 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=459723\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> In a recent survey eighteen percent of high school students said their favorite cookie was macadamia-white chocolate. You randomly select 4 students and ask each person to name their favorite cookie. Find the probability that the number who say macadamia-white chocolate is their favorite cookie is:\r<BR>\n" );
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document.write( "X~Binomial(4,0.18)\r<BR>\n" );
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document.write( "A) exactly 2\r<BR>\n" );
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document.write( "P(X = 2) = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28matrix%282%2C1%2C4%2C2%29%29%280.18%5E2%29%280.82%5E2%29 ALIGN=MIDDLE  ALT=\"%28matrix%282%2C1%2C4%2C2%29%29%280.18%5E2%29%280.82%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%280.1307%29 ALIGN=MIDDLE  ALT=\"highlight%280.1307%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "B) less than 3\r<BR>\n" );
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document.write( "P(X < 3) = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sum%28%28matrix%282%2C1%2C4%2Cx%29%29%280.18%5Ex%29%280.82%5E%284+-+x%29%29%2C+x+=+0%2C+2%29 ALIGN=MIDDLE  ALT=\"sum%28%28matrix%282%2C1%2C4%2Cx%29%29%280.18%5Ex%29%280.82%5E%284+-+x%29%29%2C+x+=+0%2C+2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%280.9798%29 ALIGN=MIDDLE  ALT=\"highlight%280.9798%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "C) at least 3\r<BR>\n" );
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document.write( "P(X &#8805; 3)  = 1 - 0.9798 = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%280.0202%29 ALIGN=MIDDLE  ALT=\"highlight%280.0202%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "D) greater than 1<BR>\n" );
document.write( "P(X > 1) = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sum%28%28matrix%282%2C1%2C4%2Cx%29%29%280.18%5Ex%29%280.82%5E%284+-+x%29%29%2C+x+=+2%2C+4%29 ALIGN=MIDDLE  ALT=\"sum%28%28matrix%282%2C1%2C4%2Cx%29%29%280.18%5Ex%29%280.82%5E%284+-+x%29%29%2C+x+=+2%2C+4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%280.1509%29 ALIGN=MIDDLE  ALT=\"highlight%280.1509%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "E) at most 2\r<BR>\n" );
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document.write( "P(X &#8804; 2) = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sum%28%28matrix%282%2C1%2C4%2Cx%29%29%280.18%5Ex%29%280.82%5E%284+-+x%29%29%2C+x+=+0%2C+2%29 ALIGN=MIDDLE  ALT=\"sum%28%28matrix%282%2C1%2C4%2Cx%29%29%280.18%5Ex%29%280.82%5E%284+-+x%29%29%2C+x+=+0%2C+2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%280.9798%29 ALIGN=MIDDLE  ALT=\"highlight%280.9798%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " </SPAN>\n" );
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