document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1070633>Question 1070633</A>: <I><SPAN STYLE=\"word-break: break-all;\"> In the probability distribution below, x represents the number of girls in a family of four children. 1) write the sample space for a family of four children, and 2)USE THAT to fill in the probabilities in the table. Then 3) find the mean and standard deviation. 4) Is it unusual for a family of four children to consist of four girls?     X=# of girls<BR>\n" );
document.write( "X|P(x)<BR>\n" );
document.write( "0<BR>\n" );
document.write( "1<BR>\n" );
document.write( "2<BR>\n" );
document.write( "3<BR>\n" );
document.write( "4 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #685732 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=685732\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Look at the 16 possible outcomes of boys and girls,<BR>\n" );
document.write( ".<BR>\n" );
document.write( ".<BR>\n" );
document.write( ".<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/display-illustration.mpl?tutor=Fombitz&illustration_name=BG.JPG\">.<BR>\n" );
document.write( ".<BR>\n" );
document.write( ".<BR>\n" );
document.write( ".<BR>\n" );
document.write( "So then,<BR>\n" );
document.write( "0,1<BR>\n" );
document.write( "1,4<BR>\n" );
document.write( "2,6<BR>\n" );
document.write( "3,4<BR>\n" );
document.write( "4,1<BR>\n" );
document.write( ".<BR>\n" );
document.write( ".<BR>\n" );
document.write( ".<BR>\n" );
document.write( "Make a chart in EXCEL to calculate the mean and standard deviation.<BR>\n" );
document.write( ".<BR>\n" );
document.write( ".<BR>\n" );
document.write( ".<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/display-illustration.mpl?tutor=Fombitz&illustration_name=BG2.JPG\">.<BR>\n" );
document.write( ".<BR>\n" );
document.write( ".<BR>\n" );
document.write( ".<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=mu=2 ALIGN=MIDDLE  ALT=\"mu=2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sigma=1 ALIGN=MIDDLE  ALT=\"sigma=1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
document.write( ".<BR>\n" );
document.write( "So a family of 4 girls, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=X=4 ALIGN=MIDDLE  ALT=\"X=4\"   DISABLED_style= \"max-width:90%; height:auto;\" > would be 2 standard deviations away from the mean.<BR>\n" );
document.write( "Technically right on the border line of being unusual so it could go either way.<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );