document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=802129>Question 802129</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The distribution of the mass of particles emerging from an experiment studying the collisions of high energy particles is Gaussian with a mean 138.2 MeV and STD of 4.58 MeV, but my apparatus accepts (detects) only particles in the mass range 129 < M < 149 MeV. What fraction of good events is not detected by my apparatus? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #483839 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=483839\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The distribution of the mass of particles emerging from an experiment studying the collisions of high energy particles is Gaussian with a mean 138.2 MeV and STD of 4.58 MeV, but my apparatus accepts (detects) only particles in the mass range 129 < M < 149 MeV. What fraction of good events is not detected by my apparatus?<BR>\n" );
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document.write( "z(129) = (129-138.2)/4.58 = -2.0087<BR>\n" );
document.write( "z(149) = (149-138.2)/4.58 = 2.3581<BR>\n" );
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document.write( "Your aswer: P(x < 129) = P(z < -2.0087) = 0.0223<BR>\n" );
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document.write( "Your answer: p(x > 149) = P(z > 2.3581) = 0.0092<BR>\n" );
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document.write( "Add to get p(not detected) = 0.0223+0.0092 = 0.0315<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "========== </SPAN>\n" );
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