document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1030196>Question 1030196</A>: <I><SPAN STYLE=\"word-break: break-all;\"> In a sample of 300 students what is the probability of seeing 32% of the students choosing sports when it is known that on an average 25% of the students go for the sports. It is assumed that selecting the sports is an independent event.<BR>\n" );
document.write( "	0.99<BR>\n" );
document.write( "	0<BR>\n" );
document.write( "	0.001 or 0.002<BR>\n" );
document.write( "	Not enough information is given<BR>\n" );
document.write( "I have used Poisson distribution =POISSON.DIST(96,75,FALSE) which gave me 0.002. Is this correct? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #645123 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=645123\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> My scientific calculator is not powerful enough to evaluate <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28matrix%282%2C1%2C+300%2C96%29%29%2A0.75%5E204%2A0.25%5E96 ALIGN=MIDDLE  ALT=\"%28matrix%282%2C1%2C+300%2C96%29%29%2A0.75%5E204%2A0.25%5E96\"   DISABLED_style= \"max-width:90%; height:auto;\" >, which is the true answer.\r<BR>\n" );
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document.write( "If you're going to use the Poisson to approximate this, with <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=lambda+=+np+=+300%2A0.25+=+75 ALIGN=MIDDLE  ALT=\"lambda+=+np+=+300%2A0.25+=+75\"   DISABLED_style= \"max-width:90%; height:auto;\" >, you would get <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=p%2896%29+=+%2875%5E96%2F96%21%29e%5E-75+=+0.002738 ALIGN=MIDDLE  ALT=\"p%2896%29+=+%2875%5E96%2F96%21%29e%5E-75+=+0.002738\"   DISABLED_style= \"max-width:90%; height:auto;\" >, to four significant figures.\r<BR>\n" );
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document.write( "I tried approximating using the normal distribution using <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=p%280.315+%3C=+r+%3C=+0.325%29+=+p%282.6+%3C=+z+%3C=+3%29 ALIGN=MIDDLE  ALT=\"p%280.315+%3C=+r+%3C=+0.325%29+=+p%282.6+%3C=+z+%3C=+3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, and I got 0.9987-0.9953 = 0.0034, so more or else the real value should be in the close neighborhood. </SPAN>\n" );
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