document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1200295>Question 1200295</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A manufacturer knows that their items have a normally distributed length, with a mean of 13.5 inches, and standard deviation of 3.1 inches.\r<BR>\n" );
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document.write( "If one item is chosen at random, what is the probability that it is less than 7.9 inches long? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #834398 by </B><A HREF=/tutors/aboutme.mpl?userid=ikleyn><B>ikleyn(52858)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ikleyn><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=ikleyn><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=834398\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> .<BR>\n" );
document.write( "A manufacturer knows that their items have a normally distributed length, <BR>\n" );
document.write( "with a mean of 13.5 inches, and standard deviation of 3.1 inches.<BR>\n" );
document.write( "If one item is chosen at random, what is the probability that it is less than 7.9 inches long?<BR>\n" );
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document.write( "Below is slightly different method of computing, without making manual calculations on the way.\r<BR>\n" );
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document.write( "This probability is the area under the normal curve \r\n" );
document.write( "on the left of the assigned raw mark 7.9.\r\n" );
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document.write( "Use function normalcdf of your calculator. \r\n" );
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document.write( "normalcdf is the  \" Normal Cumulative distribution function \".\r\n" );
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document.write( "The format of this function is normalcdf(low mark, high mark, mean, SD).\r\n" );
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document.write( "So,  P = normalcdf(-9999, 7.9, 13.5, 3.1) = 0.0354.    <U>ANSWER</U>\r\n" );
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document.write( "Alternatively, you may use free of charge online calculator at this web-site\r\n" );
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document.write( "https://onlinestatbook.com/2/calculators/normal_dist.html\r\n" );
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document.write( "It shows the shaded are of interest, so you clearly see what you are doing\r\n" );
document.write( "and can understand what is going.  It prevents you of making errors.\r\n" );
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document.write( "If you are a novice in such calculations, I recommend you to start\r\n" );
document.write( "with the online calculator and then to switch to the graphing calculator.\r\n" );
document.write( "</PRE>\r<BR>\n" );
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document.write( "Solved.\r<BR>\n" );
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document.write( "If you need instructions on using your graphing calculator for normalcdf function,\r<BR>\n" );
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document.write( "find all necessary instructions from this video-lesson\r<BR>\n" );
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document.write( "Normal Distribution: Calculating Probabilities {TI 84 Plus CE}<BR>\n" );
document.write( "https://www.youtube.com/watch?v=IyEKEL9nm28\r<BR>\n" );
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document.write( "or from this textual description\r<BR>\n" );
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document.write( "https://cosmosweb.champlain.edu/people/stevens/WebTech/TIFiles/Chap6-TI-83.pdf\r<BR>\n" );
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document.write( " </SPAN>\n" );
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