document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=439161>Question 439161</A>: <I><SPAN STYLE=\"word-break: break-all;\"> X has a normal distribution with a mean of 80.0 and standard deviation of 3.5. Find the following probabilites:<BR>\n" );
document.write( "a) P(x<77.0)<BR>\n" );
document.write( "b) P(78.0<0x<85.0)<BR>\n" );
document.write( "c) P(x>90.0) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #303518 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=303518\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> X has a normal distribution with a mean of 80.0 and standard deviation of 3.5. Find the following probabilites:<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Comment: For each of these problems find the z-value.<BR>\n" );
document.write( "Then use your calculator or z-chart to find the appropriate<BR>\n" );
document.write( "probability.<BR>\n" );
document.write( "----<BR>\n" );
document.write( "a) P(x<77.0)<BR>\n" );
document.write( "z(77) = (77-80)/3.5 = -0.8571<BR>\n" );
document.write( "P(x < 77) = P(z < -0.8571) = 0.1957<BR>\n" );
document.write( "=======================================<BR>\n" );
document.write( "Follow the same procedure for \"b\" and \"c\".<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "b) P(78.0<0x<85.0)<BR>\n" );
document.write( "c) P(x>90.0)<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );