document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1195500>Question 1195500</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A manufacturer knows that their items have a normally distributed length, with a mean of 5.1 inches, and standard deviation of 0.5 inches.\r<BR>\n" );
document.write( "\n" );
document.write( "If one item is chosen at random, what is the probability that it is less than 4.5 inches long?\r<BR>\n" );
document.write( "\n" );
document.write( "Round your answer to three decimal places. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #828002 by </B><A HREF=/tutors/aboutme.mpl?userid=ikleyn><B>ikleyn(52847)</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=828002\">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 5.1 inches, and standard deviation of 0.5 inches.<BR>\n" );
document.write( "If one item is chosen at random, what is the probability that it is less than 4.5 inches long?<BR>\n" );
document.write( "Round your answer to three decimal places.<BR>\n" );
document.write( "~~~~~~~~~~~~~~~~\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "The normal distribution curve is a bell shaped curve.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "The question is to determine the area under the &nbsp;GIVEN &nbsp;normal distribution curve to the left of the value 0.45 inches.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Go to website \r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "https://onlinestatbook.com/2/calculators/normal_dist.html\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "and use free of charge online calculator specially intended for this purpose.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Input &nbsp;5.1 &nbsp;in the port window &nbsp;\" Mean \";\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "input &nbsp;0.5 &nbsp;in the port window &nbsp;&nbsp;&nbsp;&nbsp;\" SD \";    &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;( <<<---===  SD means \"standard deviation\" )\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "input number &nbsp;0.45 &nbsp;in the port window &nbsp;\" BELOW \".\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Then click the button &nbsp;\" Recalculate \".\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "You will get the &nbsp;<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28highlight%28ANSWER%29%29 ALIGN=MIDDLE  ALT=\"highlight%28highlight%28ANSWER%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > &nbsp;0.1151 &nbsp;in the window &nbsp;\" Area &nbsp;(probability) \".\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "The shaded area in the plot shows you the area of the interest.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Round the answer as necessary.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Every time as you get similar problem, &nbsp;you can solve it this way.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "This way is the easiest and shortest way to learn the subject.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "When you learn the subject enough, &nbsp;you will be ready and may start learning other ways.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( ". . . . . . . . . . . . \r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "On HOW TO do it using pocket calculator, see this video lesson\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "https://www.youtube.com/watch?v=IyEKEL9nm28\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "and/or many other video lessons, which you can find in the Internet.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );