document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1070493>Question 1070493</A>: <I><SPAN STYLE=\"word-break: break-all;\"> When a California household is randomly selected, the number of televisions and the corresponding probabilities are: 0(.03);1(.15);2(.29);3(.26);4(.16); 5(.11)<BR>\n" );
document.write( "Verify that this qualifies as a probability distribution. Then find the average number of TV's per household and the standard deviation. Is it unusual for a household in California to not have a television?<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #685605 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=685605\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> If it's a distribution, <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0%3C=P%28x%29%3C=1 ALIGN=MIDDLE  ALT=\"0%3C=P%28x%29%3C=1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sum%28P%29=1 ALIGN=MIDDLE  ALT=\"sum%28P%29=1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "First one, check.<BR>\n" );
document.write( "Second one,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=.03%2B.15%2B.29%2B.26%2B.16%2B.11=1 ALIGN=MIDDLE  ALT=\".03%2B.15%2B.29%2B.26%2B.16%2B.11=1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Check.<BR>\n" );
document.write( ".<BR>\n" );
document.write( ".<BR>\n" );
document.write( ".\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=mu=sum%28x%2AP%28x%29%29=0%2A.03%2B1%2A.15%2B2%2A.29%2B3%2A.26%2B4%2A.16%2B5%2A.11=2.7 ALIGN=MIDDLE  ALT=\"mu=sum%28x%2AP%28x%29%29=0%2A.03%2B1%2A.15%2B2%2A.29%2B3%2A.26%2B4%2A.16%2B5%2A.11=2.7\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sigma%5E2=sum%28%28x-mu%29%5E2%2AP%28x%29%29=%280-2.7%29%5E2%2A.03%2B%281-2.7%29%5E2%2A.15%2B%282-2.7%29%5E2%2A.29%2B%283-2.7%29%5E2%2A.26%2B%284-2.7%29%5E2%2A.16%2B%285-2.7%29%5E2%2A.11=1.67 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=1.29 ALIGN=MIDDLE  ALT=\"sigma=1.29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "So then a value of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=X=0 ALIGN=MIDDLE  ALT=\"X=0\"   DISABLED_style= \"max-width:90%; height:auto;\" > would be <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2.7-N%2A1.29=0 ALIGN=MIDDLE  ALT=\"2.7-N%2A1.29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=N=2.1 ALIGN=MIDDLE  ALT=\"N=2.1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "This value is more than two standard deviations away from the mean. <BR>\n" );
document.write( "Yes, it's unusual.<BR>\n" );
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