document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1198593>Question 1198593</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The test score of a math class with 800 students are distributed normally with a mean of 75 and a standard deviation of 7.\r<BR>\n" );
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document.write( "a) What percentage of a class has a test score between 68 and 82?\r<BR>\n" );
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document.write( "b) Approximately how many students have a test score between 61 and 89?\r<BR>\n" );
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document.write( "c) What is the probability that a student chosen at random has a test score between 54 and 75?\r<BR>\n" );
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document.write( "d) Approximately how many students have a test score greater than or equal to 96? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #832206 by </B><A HREF=/tutors/aboutme.mpl?userid=ikleyn><B>ikleyn(52803)</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=832206\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> .<BR>\n" );
document.write( "The test score of a math class with 800 students are distributed normally with a mean of 75 and a standard deviation of 7.<BR>\n" );
document.write( "a) What percentage of a class has a test score between 68 and 82?<BR>\n" );
document.write( "b) Approximately how many students have a test score between 61 and 89?<BR>\n" );
document.write( "c) What is the probability that a student chosen at random has a test score between 54 and 75?<BR>\n" );
document.write( "d) Approximately how many students have a test score greater than or equal to 96?<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)  They want you find the area under the specified normal curve between given raw scores\r\n" );
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document.write( "     For it, use you calculator P = normalcfd(68, 82, 75, 7)\r\n" );
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document.write( "     or use online free of charge calculator https://onlinestatbook.com/2/calculators/normal_dist.html\r\n" );
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document.write( "     The answer is 0.6827  (rounded).\r\n" );
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document.write( "(b)  First find the probability as the area under the specified normal curve between the given raw scores \r\n" );
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document.write( "     For it, use you calculator  P = normalcfd(61, 89, 75, 7)\r\n" );
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document.write( "     or use online free of charge calculator https://onlinestatbook.com/2/calculators/normal_dist.html\r\n" );
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document.write( "     The probability (the area under the curve)  is 0.9545  (rounded).\r\n" );
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document.write( "     Therefore, the answer to question (b) is this product  0.9545*800.    \r\n" );
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document.write( "     Use your calculator and round appropriately.\r\n" );
document.write( "</PRE>\r<BR>\n" );
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document.write( "Solved.\r<BR>\n" );
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document.write( "In the future, do not pack too many questions in one post.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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