document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1193055>Question 1193055</A>: <I><SPAN STYLE=\"word-break: break-all;\"> In a mango farm of 250 trees, the mean harvest is 96.5 kilos of fruit per tree with a standard deviation of 8.4 kilos. Assuming that the harvests per tree are normally distributed, how many trees yielded a harvest below 100 kilos? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #825040 by </B><A HREF=/tutors/aboutme.mpl?userid=ikleyn><B>ikleyn(52914)</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=825040\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> .<BR>\n" );
document.write( "In a mango farm of 250 trees, the mean harvest is 96.5 kilos of fruit per tree with a standard deviation of 8.4 kilos. <BR>\n" );
document.write( "Assuming that the harvests per tree are normally distributed, how many trees yielded a harvest below 100 kilos?<BR>\n" );
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document.write( "The normal distribution curve is a bell shaped curve.\r<BR>\n" );
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document.write( "This question is to determine the area under the normal distribution curve<BR>\n" );
document.write( "below the given score.\r<BR>\n" );
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document.write( "This area is the probability, or a percentage of those trees that yielded a harvest below 100 kilos.\r<BR>\n" );
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document.write( "As soon as you find this percentage, multiply the number of 250 by it to get the answer.\r<BR>\n" );
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document.write( "The area can be find in different ways:\r<BR>\n" );
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document.write( "    &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;- manually,  &nbsp;&nbsp;or\r<BR>\n" );
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document.write( "    &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;- using online calculators, &nbsp;&nbsp; or\r<BR>\n" );
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document.write( "    &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;- using your pocket calculator.\r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;MANUALLY\r<BR>\n" );
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document.write( "To do the job manually, &nbsp;use this &nbsp;Table representing &nbsp;AREA &nbsp;to the &nbsp;LEFT &nbsp;of the &nbsp;Z-score\r<BR>\n" );
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document.write( "https://www.math.arizona.edu/~rsims/ma464/standardnormaltable.pdf\r<BR>\n" );
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document.write( "On how to do it, &nbsp;see this Internet text source\r<BR>\n" );
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document.write( "http://statisticshelper.com/how-to-use-the-z-table\r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;USING &nbsp;ONLINE &nbsp;CALCULATOR\r<BR>\n" );
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document.write( "To do the job using an online &nbsp;(free of charge) &nbsp;calculator, &nbsp;go to this web-site<BR>\n" );
document.write( "https://onlinestatbook.com/2/calculators/normal_dist.html\r<BR>\n" );
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document.write( "Input the given parameters of each question into an appropriate window of the calculator and get the answers\r<BR>\n" );
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document.write( "to your questions.\r<BR>\n" );
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document.write( "The calculator has perfect description and design, &nbsp;as well as clear visual interface, which prevents you of making errors.\r<BR>\n" );
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document.write( "So &nbsp;EVERY &nbsp;person, &nbsp;even beginner, &nbsp;may work with it on his or her own, &nbsp;even having minimum knowledge on the subject.\r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;USING &nbsp;YOUR &nbsp;POCKET &nbsp;CALCULATOR\r<BR>\n" );
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document.write( "On how to use it, &nbsp;see a text description in &nbsp;THIS &nbsp;Internet source / site\r<BR>\n" );
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document.write( "https://mathbits.com/MathBits/TISection/Statistics2/normaldistribution.htm\r<BR>\n" );
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document.write( "Or see these &nbsp;Youtube video-lessons\r<BR>\n" );
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document.write( "https://www.youtube.com/watch?v=bVdQ7OzGvU0  &nbsp;&nbsp;&nbsp;&nbsp;(for &nbsp;Casio fx-991 MS)\r<BR>\n" );
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document.write( "https://www.youtube.com/watch?v=yYpMkgB20C4  &nbsp;&nbsp;&nbsp;&nbsp;(for &nbsp;TI-83 &nbsp;or &nbsp;TI-84 calculators)\r<BR>\n" );
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document.write( "I recommend you to play with the online calculator first.<BR>\n" );
document.write( "If you are unfamiliar with the subject, playing with the online calculator will help you a lot !\r<BR>\n" );
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document.write( "After learning it, you will be able to solve this problem &nbsp;(and thousand other similar and different problems) &nbsp;ON &nbsp;YOUR &nbsp;OWN,\r<BR>\n" );
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document.write( "without asking for help from outside.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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