document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1178937>Question 1178937</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A racer averages 129.25 seconds per 2.5 mile lap( in a 7 lap race) with a standard deviation of 2.27 seconds. normal distribution. let x be the number of seconds for a randomly selected lap.  \r<BR>\n" );
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document.write( "A. what is the distribution of x? x-n (____.____)<BR>\n" );
document.write( "B. find the proportion of her laps that are completed between 127.7  and 129.36 seconds. ____________<BR>\n" );
document.write( "C. The fastest 3% of her laps are under __________seconds.<BR>\n" );
document.write( "D. The middle 40% of her laps are from _______ seconds to ________ seconds. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #850282 by </B><A HREF=/tutors/aboutme.mpl?userid=CPhill><B>CPhill(1959)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=CPhill><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=CPhill><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=850282\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Here are the answers to your questions, based on the provided information:\r<BR>\n" );
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document.write( "**A. What is the distribution of x?**\r<BR>\n" );
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document.write( "* x ~ N(129.25, 2.27)<BR>\n" );
document.write( "    * This means x follows a normal distribution with a mean (μ) of 129.25 seconds and a standard deviation (σ) of 2.27 seconds.\r<BR>\n" );
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document.write( "**B. Find the proportion of her laps that are completed between 127.7 and 129.36 seconds.**\r<BR>\n" );
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document.write( "* 0.2720<BR>\n" );
document.write( "    * This means that approximately 27.20% of her laps are completed within this time range.\r<BR>\n" );
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document.write( "**C. The fastest 3% of her laps are under __________ seconds.**\r<BR>\n" );
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document.write( "* 124.98 seconds.<BR>\n" );
document.write( "    * This means that 3% of her fastest laps are completed in 124.98 seconds or less.\r<BR>\n" );
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document.write( "**D. The middle 40% of her laps are from _______ seconds to ________ seconds.**\r<BR>\n" );
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document.write( "* 128.06 seconds to 130.44 seconds.<BR>\n" );
document.write( "    * This indicates that the middle 40% of her lap times fall within this range.<BR>\n" );
document.write( " </SPAN>\n" );
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