document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1200708>Question 1200708</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The scores of students on the logic test of an entrance examination are normally distributed with a mean of 500 and a standard deviation of 100. Find the following test score probabilities.  \r<BR>\n" );
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document.write( "(a) What is the probability a student scores over 400? \r<BR>\n" );
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document.write( "(b) What is the probability a student scores over 650? \r<BR>\n" );
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document.write( "(c) What is the probability a student scores under 375? \r<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 #834909 by </B><A HREF=/tutors/aboutme.mpl?userid=ikleyn><B>ikleyn(52790)</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=834909\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> .<BR>\n" );
document.write( "The scores of students on the logic test of an entrance examination are normally distributed <BR>\n" );
document.write( "with a mean of 500 and a standard deviation of 100. Find the following test score probabilities.  \r<BR>\n" );
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document.write( "(a) What is the probability a student scores over 400? \r<BR>\n" );
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document.write( "(b) What is the probability a student scores over 650? \r<BR>\n" );
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document.write( "(c) What is the probability a student scores under 375? <BR>\n" );
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document.write( "Each normal curve is a bell-shaped curve.\r<BR>\n" );
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document.write( "In this problem, the probabilities are the areas under the described/specified normal curve on the left or on the right of the assigned raw marks.\r<BR>\n" );
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document.write( "These probabilities can be found using the standard function normalcdf.\r<BR>\n" );
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document.write( "normalcdf stands for normal cumulative distribution function.\r<BR>\n" );
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document.write( "Its format is normalcdf(z1,z2,m,SD), where z1, z2 are the raw marks, m is the mean value, SD is the standard deviation value.\r<BR>\n" );
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document.write( "You may use this function on your calculator.\r<BR>\n" );
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document.write( "<PRE STYLE=\"white-space: pre-wrap; white-space: -moz-pre-wrap; white-space: -pre-wrap; white-space: -o-pre-wrap; word-wrap: break-word;\">\r\n" );
document.write( "    (a)  P = normalcdf(400,9999,500,100).\r\n" );
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document.write( "    (b)  P = normalcdf(650,9999,500,100).\r\n" );
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document.write( "    (c)  P = normalcdf(-999,375,500,100).\r\n" );
document.write( "</PRE>\r<BR>\n" );
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document.write( "If everything is clear to you from my explanations, then boldly go forward,<BR>\n" );
document.write( "get the values and complete the assignment on your own.\r<BR>\n" );
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document.write( "You also can use an online free of charge calculator at this site\r<BR>\n" );
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document.write( "https://onlinestatbook.com/2/calculators/normal_dist.html\r<BR>\n" );
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document.write( "The calculator has perfect description, instructions and design, along with clear graphical output, so &nbsp;EVERY &nbsp;person, \r<BR>\n" );
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document.write( "including beginners, &nbsp;may work with it on his or her own, even having minimum knowledge on the subject.\r<BR>\n" );
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document.write( "I always recommend to beginner students to start using this calculator.\r<BR>\n" );
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document.write( "When you get enough practice and understanding, you may switch back to regular calculators.\r<BR>\n" );
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