document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1203069>Question 1203069</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Given a normal distribution with mean = 51 and Standard deviation  = 8, and given you select a sample of n = 100, complete parts (a) through (d).\r<BR>\n" );
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document.write( "a. What is the probability that X is less than 49?\r<BR>\n" );
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document.write( "P(X <49) =\r<BR>\n" );
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document.write( "(Type an integer or decimal rounded to four decimal places as needed.)\r<BR>\n" );
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document.write( "b. What is the probability that X is between 49 and 51.5?\r<BR>\n" );
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document.write( "P(49 < X < 51.5) =\r<BR>\n" );
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document.write( "(Type an integer or decimal rounded to four decimal places as needed.)\r<BR>\n" );
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document.write( "c. What is the probability that X is above 51.5?\r<BR>\n" );
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document.write( "P(X > 51.5) =\r<BR>\n" );
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document.write( "(Type an integer or decimal rounded to four decimal places as needed.)\r<BR>\n" );
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document.write( "d. There is a 35% chance that X is above what value?\r<BR>\n" );
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document.write( "X=\r<BR>\n" );
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document.write( "(Type an integer or decimal rounded to two decimal places as needed.) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #838325 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=838325\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> using the calculator at <a  rel=nofollow HREF= \"https://davidmlane.com/hyperstat/z_table.html\" target \"_blank\">https://davidmlane.com/hyperstat/z_table.html</a>, i get the following.\r<BR>\n" );
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document.write( "a. What is the probability that X is less than 49?<BR>\n" );
document.write( "P(X <49) = .0062\r<BR>\n" );
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document.write( "b. What is the probability that X is between 49 and 51.5?<BR>\n" );
document.write( "P(49 < X < 51.5) = .7278\r<BR>\n" );
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document.write( "c. What is the probability that X is above 51.5?<BR>\n" );
document.write( "P(X > 51.5) = .2660\r<BR>\n" );
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document.write( "(Type an integer or decimal rounded to four decimal places as needed.)<BR>\n" );
document.write( "d. There is a 35% chance that X is above what value?<BR>\n" );
document.write( "X = 51.3082\r<BR>\n" );
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document.write( "here's what the results look like on a graph.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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