document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1157344>Question 1157344</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hospital records show that 20% of the cases of a certain disease are fatal. Find the probability that out of 5 patients admitted with this disease<BR>\n" );
document.write( "a. all will recover<BR>\n" );
document.write( "b. exactly 2 will recover<BR>\n" );
document.write( "c. at least 2 will recover </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #780211 by </B><A HREF=/tutors/aboutme.mpl?userid=VFBundy><B>VFBundy(438)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=VFBundy><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=VFBundy><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=780211\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <i><b>a. all will recover</b></i><BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%280.8%29%5E5 ALIGN=MIDDLE  ALT=\"%280.8%29%5E5\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <b>0.32768</b><BR>\n" );
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document.write( "<i><b>b. exactly 2 will recover</b></i><BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%280.8%29%5E2+%2A+%280.2%29%5E3+%2A+%285%21%2F%282%21%2A3%21%29%29 ALIGN=MIDDLE  ALT=\"%280.8%29%5E2+%2A+%280.2%29%5E3+%2A+%285%21%2F%282%21%2A3%21%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%280.8%29%5E2+%2A+%280.2%29%5E3+%2A+10 ALIGN=MIDDLE  ALT=\"%280.8%29%5E2+%2A+%280.2%29%5E3+%2A+10\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 0.64 * 0.008 * 10 = <b>0.0512</b><BR>\n" );
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document.write( "<i><b>c. at least 2 will recover</b></i><BR>\n" );
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document.write( "Find the probability that exactly one will recover AND the probability that none will recover.  Add these together and subtract that result from 1.<BR>\n" );
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document.write( "<i>Probability exactly one will recover:</i><BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%280.8%29%5E1+%2A+%280.2%29%5E4+%2A+%285%21%2F%281%21%2A4%21%29%29 ALIGN=MIDDLE  ALT=\"%280.8%29%5E1+%2A+%280.2%29%5E4+%2A+%285%21%2F%281%21%2A4%21%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%280.8%29%5E1+%2A+%280.2%29%5E4+%2A+5 ALIGN=MIDDLE  ALT=\"%280.8%29%5E1+%2A+%280.2%29%5E4+%2A+5\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 0.8 * 0.0016 * 5 = 0.0064<BR>\n" );
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document.write( "<i>Probability none will recover:</i><BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%280.2%29%5E5 ALIGN=MIDDLE  ALT=\"%280.2%29%5E5\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 0.00032<BR>\n" );
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document.write( "<i>Probability exactly one will recover PLUS probability none will recover:<BR>\n" );
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document.write( "0.0064 + 0.00032 = 0.00672<BR>\n" );
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document.write( "Probability at least two will recover:<BR>\n" );
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document.write( "1 - 0.00672 = <b>0.99328</b> </SPAN>\n" );
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