document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=248008>Question 248008</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The Math SAT scores for women are normally distributed with a mean of 496 and a standard deviation of 108, if five math SAT scores are randomly selected from the population of women who take the test, find the probability that all five scores are above 500\r<BR>\n" );
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document.write( "There was a part b to the question: if a woman who takes the math portion of the SAT is randomly selected, find the probability that her score is above 500..... for this I got P(x>500>= .4852   <BR>\n" );
document.write( "by using my calculator normal cdf (500,1E99, 496,108) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #180803 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=180803\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The Math SAT scores for women are normally distributed with a mean of 496 and a standard deviation of 108, <BR>\n" );
document.write( "If five math SAT scores are randomly selected from the population of women who take the test, find the probability that all five scores are above 500 <BR>\n" );
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document.write( "Your part b gives the probability that one women has a score above 500.<BR>\n" );
document.write( "Assuming independence the probability of 5 having a score above 500 <BR>\n" );
document.write( "should be (0.4852)^5 = 0.0269.<BR>\n" );
document.write( "My previous answer gave the probability that the sample mean would be <BR>\n" );
document.write( "above 500.  Sorry about that.<BR>\n" );
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document.write( "There was a part b to the question: if a woman who takes the math portion of the SAT is randomly selected, find the probability that her score is above 500..... for this I got P(x>500>= .4852 <BR>\n" );
document.write( "by using my calculator normal cdf (500,1E99, 496,108)<BR>\n" );
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document.write( "Good, because you used the population standard deviation (108).<BR>\n" );
document.write( "If part \"a\" I used the standard deviation of the sample means<BR>\n" );
document.write( "which is 108/sqrt(6).<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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