document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=581451>Question 581451</A>: <I><SPAN STYLE=\"word-break: break-all;\"> This are questions from homework from the other week. My professor already gave me the answers but not how to do the work; it is an online statistics class. I have been looking up things. I want to make sure how to do the steps properly. Below are the questions. Thank you so much! \r<BR>\n" );
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document.write( "Given a test that is normally distributed with a mean of 30 and a standard deviation of 6, what is the probability that a single score drawn at random will be greater than 34?\r<BR>\n" );
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document.write( "If scores are normally distributed with a mean of 85 and a standard deviation of 10, approximately what percentage of the scores are between 60 and 100?\r<BR>\n" );
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document.write( "If scores are normally distributed with a mean of 85, and a standard deviation of 10, approximately what percentage of the scores are greater than 80?\r<BR>\n" );
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document.write( "If scores are normally distributed with a mean of 85, and a standard deviation of 10, approximately what percentage of the scores are greater than 95?\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 #371656 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=371656\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Given a test that is normally distributed with a mean of 30 and a standard deviation of 6, what is the probability that a single score drawn at random will be greater than 34?<BR>\n" );
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document.write( "z(34) = (34-10)/6 = 4/6 = 2/3<BR>\n" );
document.write( "P(x > 34) = P(z > 2/3) = normalcdf(2/3,100) = 0.2525<BR>\n" );
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document.write( "If scores are normally distributed with a mean of 85 and a standard deviation of 10, approximately what percentage of the scores are between 60 and 100? <BR>\n" );
document.write( "z(60) = (60-85)/10 = -25/10 = -2.5<BR>\n" );
document.write( "z(100) = (100-85)/10 = 15/10 = 3/2<BR>\n" );
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document.write( "P(60 < x < 100) = P(-2.5 < z < 3/2) = normalcdf(-2.5,3/2) = 0.9270<BR>\n" );
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document.write( "Use the same procedure for the last 2 problems.<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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document.write( "If scores are normally distributed with a mean of 85, and a standard deviation of 10, approximately what percentage of the scores are greater than 80? <BR>\n" );
document.write( "If scores are normally distributed with a mean of 85, and a standard deviation of 10, approximately what percentage of the scores are greater than 95? \r<BR>\n" );
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