document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1036954>Question 1036954</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The director of admissions at Kinzua University in Nova Scotia estimated the distribution of student admissions for the fall semester on the basis of past experience.<BR>\n" );
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document.write( "Admissions      Probability <BR>\n" );
document.write( "1,060              0.5          <BR>\n" );
document.write( "1,400              0.1          <BR>\n" );
document.write( "1,620              0.4          \r<BR>\n" );
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document.write( "What is the expected number of admissions for the fall semester?<BR>\n" );
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document.write( "  Expected number of admissions    <BR>\n" );
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document.write( "Compute the variance and the standard deviation of the number of admissions. (Round your standard deviation to 2 decimal places.)<BR>\n" );
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document.write( "  Variance    <BR>\n" );
document.write( "  Standard deviation    <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 #651883 by </B><A HREF=/tutors/aboutme.mpl?userid=robertb><B>robertb(5830)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=robertb><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=robertb><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=651883\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> E(X) = 1,060*0.5 + 1,400* 0.1 + 1,620* 0.4 = 1,318, the expected number of admissions for the fall semester.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=E%28X%5E2%29+=+1060%5E2%2A0.5+%2B+1400%5E2%2A+0.1+%2B+1620%5E2%2A+0.4+=+1807560 ALIGN=MIDDLE  ALT=\"E%28X%5E2%29+=+1060%5E2%2A0.5+%2B+1400%5E2%2A+0.1+%2B+1620%5E2%2A+0.4+=+1807560\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "==> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=Var%28X%29+=+E%28X%5E2%29+-+%28E%28X%29%29%5E2+=+1807560+-+1737124+=+70436 ALIGN=MIDDLE  ALT=\"Var%28X%29+=+E%28X%5E2%29+-+%28E%28X%29%29%5E2+=+1807560+-+1737124+=+70436\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "=> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=SD%28X%29+=+sqrt%28Var%28X%29%29+=+sqrt%2870436%29+=+265.40 ALIGN=MIDDLE  ALT=\"SD%28X%29+=+sqrt%28Var%28X%29%29+=+sqrt%2870436%29+=+265.40\"   DISABLED_style= \"max-width:90%; height:auto;\" >, to two decimal places (the zero at the hundredth place is significant.) </SPAN>\n" );
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