document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=764067>Question 764067</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 10 people get a flu shot which has an 80% chance of preventing the flu:<BR>\n" );
document.write( "What is:<BR>\n" );
document.write( "1) probability shot prevents all 10 people from getting the flu.<BR>\n" );
document.write( "2) probability at least 8 people are prevented from getting the flu.<BR>\n" );
document.write( "3) calculate the expected value and standard deviation of number of people prevented from getting the flu. Please show formulas! :)<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #465168 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=465168\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 10 people get a flu shot which has an 80% chance of preventing the flu:<BR>\n" );
document.write( "What is:<BR>\n" );
document.write( "1) probability shot prevents all 10 people from getting the flu.<BR>\n" );
document.write( "   <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.8%5E10 ALIGN=MIDDLE  ALT=\"0.8%5E10\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%280.107374%29 ALIGN=MIDDLE  ALT=\"highlight%280.107374%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
document.write( "\n" );
document.write( "2) probability at least 8 people are prevented from getting the flu.<BR>\n" );
document.write( "   <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sum%28%28matrix%282%2C1%2C10%2Cx%29%29%280.8%5Ex%29%280.2%5E%2810+-+x%29%29%2C+x+=+8%2C+10%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%280.6778%29 ALIGN=MIDDLE  ALT=\"highlight%280.6778%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "3) calculate the expected value and standard deviation of number of people prevented from getting the flu.<BR>\n" );
document.write( "   Expected Value = np = 10(0.8) = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%288%29 ALIGN=MIDDLE  ALT=\"highlight%288%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "   Standard Deviation = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28npq%29 ALIGN=MIDDLE  ALT=\"sqrt%28npq%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%2810%2A0.8%2A0.2%29 ALIGN=MIDDLE  ALT=\"sqrt%2810%2A0.8%2A0.2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%281.2649%29 ALIGN=MIDDLE  ALT=\"highlight%281.2649%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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