document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1059035>Question 1059035</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 4.	Give a normally distributed population with a mean of 75 and a variance of 625. Find the following probability<BR>\n" );
document.write( "a.	P (x<60);<BR>\n" );
document.write( "b.	P(x&#8805;85).   <BR>\n" );
document.write( "c.	P(43&#8804;x&#8804;110) <BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #674109 by </B><A HREF=/tutors/aboutme.mpl?userid=Boreal><B>Boreal(15235)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Boreal><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=Boreal><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=674109\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> z=(x-mean)/sd<BR>\n" );
document.write( "=(60-75)/25, since sd is the square root of the variance, and the variance is 625.<BR>\n" );
document.write( "=-15/25.<BR>\n" );
document.write( "want p z<-0.6, and that is 0.2743<BR>\n" );
document.write( "---------------<BR>\n" );
document.write( "want p > 10/25 by the same reasoning.<BR>\n" );
document.write( "That is probability z>0.4, which is 0.3446<BR>\n" );
document.write( "--------------<BR>\n" );
document.write( "Want z between two values<BR>\n" );
document.write( "(43-75)/25 and (110-75)/25<BR>\n" );
document.write( "That is between -1.28 and +1.4, or 0.8190. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );