document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=995564>Question 995564</A>: <I><SPAN STYLE=\"word-break: break-all;\"> please help me work out this question. was given to me as an assignment by my tutor but i have failed to work it out.\r<BR>\n" );
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document.write( "Taonga has contracted a virus V which can be of type V1,V2,V3.The probability of the virus being V1,V2,V3 is 0.3,0.6,0.1 respectively .The probability of recovery for V1,V2,V3 is 0.8,0.3,0.5 respectively .what is the probability that<BR>\n" );
document.write( "(a) Taonga recovers<BR>\n" );
document.write( "(b) If Taonga recovers then she had V2? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #614348 by </B><A HREF=/tutors/aboutme.mpl?userid=KMST><B>KMST(5328)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=KMST><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=KMST><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=614348\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> \"The probability of the virus being V1,V2,V3 is 0.3,0.6,0.1 respectively\" means that<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.3=30%2F100 ALIGN=MIDDLE  ALT=\"0.3=30%2F100\"   DISABLED_style= \"max-width:90%; height:auto;\" > of the patients with virus V have type V1;<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.6=60%2F100 ALIGN=MIDDLE  ALT=\"0.6=60%2F100\"   DISABLED_style= \"max-width:90%; height:auto;\" > of the patients with virus V have type V2, and<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.1=10%2F100 ALIGN=MIDDLE  ALT=\"0.1=10%2F100\"   DISABLED_style= \"max-width:90%; height:auto;\" > of the patients with virus V have type V3.\r<BR>\n" );
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document.write( "Out every 100 patients with virus V,<BR>\n" );
document.write( "30 will have V1, 60 will have V2, and 10 will have V3.\r<BR>\n" );
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document.write( "Of the 30 patients with V1, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.8=8%2F10=8%2F100=%2280%25%22 ALIGN=MIDDLE  ALT=\"0.8=8%2F10=8%2F100=%2280%25%22\"   DISABLED_style= \"max-width:90%; height:auto;\" > will recover.<BR>\n" );
document.write( "That amounts to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=30%2A0.8=24 ALIGN=MIDDLE  ALT=\"30%2A0.8=24\"   DISABLED_style= \"max-width:90%; height:auto;\" > patients with V1 recovering.<BR>\n" );
document.write( "Of the 60 patients with V2, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.3=3%2F10=30%2F100=%2230%25%22 ALIGN=MIDDLE  ALT=\"0.3=3%2F10=30%2F100=%2230%25%22\"   DISABLED_style= \"max-width:90%; height:auto;\" > will recover.<BR>\n" );
document.write( "That amounts to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=60%2A0.3=18 ALIGN=MIDDLE  ALT=\"60%2A0.3=18\"   DISABLED_style= \"max-width:90%; height:auto;\" > patients with V2 recovering.<BR>\n" );
document.write( "Of the 10 patients with V3, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.5=5%2F10=50%2F100=%2250%25%22 ALIGN=MIDDLE  ALT=\"0.5=5%2F10=50%2F100=%2250%25%22\"   DISABLED_style= \"max-width:90%; height:auto;\" > will recover.<BR>\n" );
document.write( "That amounts to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10%2A0.5=5 ALIGN=MIDDLE  ALT=\"10%2A0.5=5\"   DISABLED_style= \"max-width:90%; height:auto;\" > patients with V3 recovering.<BR>\n" );
document.write( "All in all, out of the <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=100 ALIGN=MIDDLE  ALT=\"100\"   DISABLED_style= \"max-width:90%; height:auto;\" > patients with virus V,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=24%2B18%2B5=47 ALIGN=MIDDLE  ALT=\"24%2B18%2B5=47\"   DISABLED_style= \"max-width:90%; height:auto;\" > recover.<BR>\n" );
document.write( "The fraction of the <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=100 ALIGN=MIDDLE  ALT=\"100\"   DISABLED_style= \"max-width:90%; height:auto;\" > patients that recover is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=47%2F100=0.47 ALIGN=MIDDLE  ALT=\"47%2F100=0.47\"   DISABLED_style= \"max-width:90%; height:auto;\" > ,<BR>\n" );
document.write( "and that is the probability that Taonga recovers: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%280.47%29 ALIGN=MIDDLE  ALT=\"highlight%280.47%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > .\r<BR>\n" );
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document.write( "Of each set of 100 patients, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=47 ALIGN=MIDDLE  ALT=\"47\"   DISABLED_style= \"max-width:90%; height:auto;\" > recover,<BR>\n" );
document.write( "and of those <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=47 ALIGN=MIDDLE  ALT=\"47\"   DISABLED_style= \"max-width:90%; height:auto;\" > ,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=18 ALIGN=MIDDLE  ALT=\"18\"   DISABLED_style= \"max-width:90%; height:auto;\" > had V2, amounting to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=18%2F47 ALIGN=MIDDLE  ALT=\"18%2F47\"   DISABLED_style= \"max-width:90%; height:auto;\" > of those who recovered.<BR>\n" );
document.write( "That is the probability that if Taonga recovers Taonga had V2:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%2818%2F47%29 ALIGN=MIDDLE  ALT=\"highlight%2818%2F47%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >= about<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%280.383%29 ALIGN=MIDDLE  ALT=\"highlight%280.383%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >= about<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28%2238.3%25%22%29 ALIGN=MIDDLE  ALT=\"highlight%28%2238.3%25%22%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > .\r<BR>\n" );
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document.write( " </SPAN>\n" );
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