document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=850808>Question 850808</A>: <I><SPAN STYLE=\"word-break: break-all;\"> assume there is a 4 person family and you are looking at the gender of the children. let the random variable X stand for the number of females in the 4 children in the sample. <BR>\n" );
document.write( "list the discrete random variable distribution in table format for this situation. find the mean,variance, and standard deviation for this distribution.<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 #512474 by </B><A HREF=/tutors/aboutme.mpl?userid=Fombitz><B>Fombitz(32388)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Fombitz><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=Fombitz><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=512474\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Look at all possible outcomes, then count the number of females.<BR>\n" );
document.write( "MMMM=0<BR>\n" );
document.write( "MMMF=1<BR>\n" );
document.write( "MMFM=1<BR>\n" );
document.write( "MMFF=2<BR>\n" );
document.write( "MFMM=1<BR>\n" );
document.write( "MFMF=2<BR>\n" );
document.write( "MFFM=2<BR>\n" );
document.write( "MFFF=3<BR>\n" );
document.write( "FMMM=1<BR>\n" );
document.write( "FMMF=2<BR>\n" );
document.write( "FMFM=2<BR>\n" );
document.write( "FMFF=3<BR>\n" );
document.write( "FFMM=2<BR>\n" );
document.write( "FFMF=3<BR>\n" );
document.write( "FFFM=3<BR>\n" );
document.write( "FFFF=4<BR>\n" );
document.write( "So then the discrete probability distribution looks like,<BR>\n" );
document.write( "0,1/16<BR>\n" );
document.write( "1,4/16<BR>\n" );
document.write( "2,6/16<BR>\n" );
document.write( "3,4/16<BR>\n" );
document.write( "4,1/16<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m=sum%28x%2Ap%28x%29%29=%280%2A1%2B1%2A4%2B2%2A6%2B3%2A4%2B4%2A1%29%2F16=32%2F16=2 ALIGN=MIDDLE  ALT=\"m=sum%28x%2Ap%28x%29%29=%280%2A1%2B1%2A4%2B2%2A6%2B3%2A4%2B4%2A1%29%2F16=32%2F16=2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=Var=sum%28%28x-m%29%5E2%2Ap%28x%29%29=%28%280-2%29%5E2%2A1%2B%281-2%29%5E2%2A4%2B%282-2%29%5E2%2A6%2B%283-2%29%5E2%2A4%2B%284-2%29%5E2%2A1%29%2F16=%284%2B4%2B0%2B4%2B4%29%2F16=16%2F16=1 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sigma=sqrt%28Var%29=1 ALIGN=MIDDLE  ALT=\"sigma=sqrt%28Var%29=1\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );