document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=367577>Question 367577</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Niall rolls a fair die 50 times. Find:\r<BR>\n" );
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document.write( "a) the expected number of odd numbers\r<BR>\n" );
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document.write( "b) the variance of odd numbers\r<BR>\n" );
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document.write( "c) the standard deviation of odd numbers  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #262029 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=262029\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The exercise becomes a binomial experiment with P(odd)= p = 0.5 and P(even) = q= 0.5.<BR>\n" );
document.write( "a)the expectation is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=mu+=+np+=+50%2A0.5+=+25 ALIGN=MIDDLE  ALT=\"mu+=+np+=+50%2A0.5+=+25\"   DISABLED_style= \"max-width:90%; height:auto;\" >odd numbers.\r<BR>\n" );
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document.write( "b) the variance is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sigma%5E2+=+npq+=+50%2A.5%2A.5+=+12.5 ALIGN=MIDDLE  ALT=\"sigma%5E2+=+npq+=+50%2A.5%2A.5+=+12.5\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "c) the SD is just the square root of (b)--around 3.54. </SPAN>\n" );
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