document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1166121>Question 1166121</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Given standardized normal distribution(with a mean of 0 and a standard deviation of 1) what is the probability that <BR>\n" );
document.write( "a. z is less than 1.08?<BR>\n" );
document.write( "b  z is greater then -0.21?<BR>\n" );
document.write( "c. z is less than -0.21 or greater than the mean?<BR>\n" );
document.write( "d. z is is less than -0.21 or greater than 1.08? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #790638 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=790638\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> use table or calculator<BR>\n" );
document.write( "z<1.08 is prob. 0.8599\r<BR>\n" );
document.write( "\n" );
document.write( "greater than -0.21 has probability 0.5832\r<BR>\n" );
document.write( "\n" );
document.write( "less than -0.21 has probability 1-0.5832 or 0.4168<BR>\n" );
document.write( "greater than the mean has prob. 0.50. The two are mutually exclusive, so there is no double counting.<BR>\n" );
document.write( "So the answer is their sum or 0.9168. \r<BR>\n" );
document.write( "\n" );
document.write( "less than -0.21 is  prob. 0.4168<BR>\n" );
document.write( "greater than 1.08 has prob. 0.1401, the complement of the first one above.<BR>\n" );
document.write( "The either or has a probability of their sum or 0.5569 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );