document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1169546>Question 1169546</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A physical fitness association is including the mile run in its secondary-school fitness test. The time for this event for boys in secondary school is known to possess a normal distribution with a mean of 460 seconds and a standard deviation of 50 seconds. Find the probability that a randomly selected boy in secondary school can run the mile in less than 345 seconds.<BR>\n" );
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document.write( ".5107<BR>\n" );
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document.write( ".0107<BR>\n" );
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document.write( ".9893<BR>\n" );
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document.write( ".4893<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #794433 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=794433\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> the probability is .0107\r<BR>\n" );
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document.write( "i used the ti-84 plus calculaor.\r<BR>\n" );
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document.write( "there are several online calculators you can use that will provide the same answer to you.\r<BR>\n" );
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document.write( "one of the calculators that i use can be found at <a  rel=nofollow HREF= \"https://www.calculator.net/z-score-calculator.html?c1raw=-2.3&c1mean=0&c1sd=1&calctype=zscore&x=66&y=25\" target = \"_blank\">https://www.calculator.net/z-score-calculator.html?c1raw=-2.3&c1mean=0&c1sd=1&calctype=zscore&x=66&y=25</a>\r<BR>\n" );
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document.write( "the calculator can work off of z-scores or off of raw scores.\r<BR>\n" );
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document.write( "put in a mean of 460 and a standard deviation of 50 and a raw score of 345.<BR>\n" );
document.write( "hit calculate and your answer shows up.\r<BR>\n" );
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document.write( "here's what it shows.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" src = \"http://theo.x10hosting.com/2020/111205.jpg\">\r<BR>\n" );
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document.write( "the calculator tells you what the z-score is (-2.3)\r<BR>\n" );
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document.write( "you can calculate the z-score yourself by using the formula of:<BR>\n" );
document.write( "z-score = (x-m)/s<BR>\n" );
document.write( "x is the raw score<BR>\n" );
document.write( "m is the mean<BR>\n" );
document.write( "s is the standard deviation.<BR>\n" );
document.write( "in your problem (x-m)/s becomes (345-460)/50 = -2.3\r<BR>\n" );
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document.write( "if you are using the z-score rather than the raw score, you would enter a mean of 0 and a standard deviation of 1 and give it the z-score instead of the raw score.\r<BR>\n" );
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document.write( "you would get the following results.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" src = \"http://theo.x10hosting.com/2020/111206.jpg\"><BR>\n" );
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