document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=405192>Question 405192</A>: <I><SPAN STYLE=\"word-break: break-all;\"> X has a noral distribution with a mean of 80.0 . and a standard deviation of 3.5. Find the following probabilities:<BR>\n" );
document.write( "(A) P(x < 75.0)<BR>\n" );
document.write( "(B) P(78.0 < x < 83.0)<BR>\n" );
document.write( "(C) P(x > 85.0) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #286253 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=286253\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> X has a noral distribution with a mean of 80.0 . and a standard deviation of 3.5. Find the following probabilities:<BR>\n" );
document.write( "(A) P(x < 75.0)<BR>\n" );
document.write( "(B) P(78.0 < x < 83.0)<BR>\n" );
document.write( "(C) P(x > 85.0)<BR>\n" );
document.write( "----<BR>\n" );
document.write( "Find the z-value of each x-value using the given mean and std.<BR>\n" );
document.write( "---<BR>\n" );
document.write( "A) P(x < 75)<BR>\n" );
document.write( "z(75) = (75-80)/3.5 = -5/3.5 = -1.4286<BR>\n" );
document.write( "---<BR>\n" );
document.write( "P(x < 75) = P(z < -1.4286) = 0.0766<BR>\n" );
document.write( "=================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "============= </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );