document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1063428>Question 1063428</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 4. Assuming that the heights (X) of college male students is normally distributed with a mean of 69 inches and standard deviation of 3 inches, calculate the probability that <BR>\n" );
document.write( "a. x is less than or equal to 65 inches<BR>\n" );
document.write( "b. x is greater than or equal to 65 inches but less than or equal to 70 inches </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #678512 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=678512\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Assuming that the heights (X) of college male students is normally distributed with a mean of 69 inches and standard deviation of 3 inches, calculate the probability that <BR>\n" );
document.write( "a. x is less than or equal to 65 inches<BR>\n" );
document.write( "z(65) = (65-69)/3 = -4/3<BR>\n" );
document.write( "P(x <= 65) = P(z <= -4/3) = normalcdf(-100,-4/3) = 0.0912<BR>\n" );
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document.write( "b. x is greater than or equal to 65 inches but less than or equal to 70 inches<BR>\n" );
document.write( "z(65) = -4/3<BR>\n" );
document.write( "z(70) = (70-69)/3 = 1/3<BR>\n" );
document.write( "---<BR>\n" );
document.write( "P(65<= x <=70) = P(-4/3<= z <= 1/3) = normalcdf(-4/3,1/3) = 0.5393<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "-----------<BR>\n" );
document.write( "  </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );