document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1103306>Question 1103306</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Assume that one student in a class of 27 students is randomly selected to win a prize. would it be unusal for that student to win? explain. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #718008 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=718008\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Assume that one student in a class of 27 students is randomly selected to win a prize. would it be unusual for that student to win? explain. <BR>\n" );
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document.write( "Binomial distribution with n = 27 and p = 1/27 =0.037<BR>\n" );
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document.write( "mean = n*p = 1<BR>\n" );
document.write( "std = sqrt(npq) = sqrt(1*26/27) = 0.9813<BR>\n" );
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document.write( "Find the z-value of 1/27<BR>\n" );
document.write( "z(0.037) = (0.037-1)/0.9813 = -0.9813<BR>\n" );
document.write( "So 1/27 is 0.9813 standard deviations below the mean.<BR>\n" );
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document.write( "Conclusion:: Since 1/27 is not at least 2 standard deviatioins<BR>\n" );
document.write( "below the mean, the student's selection is not that unusual.<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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document.write( " </SPAN>\n" );
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