document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=439712>Question 439712</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Assume that the average annual salary for a worker in the United States is $30,000 and that the annual salaries for American are normally distributed with a standard deviation equal to $7,000. Find the following:<BR>\n" );
document.write( "a)What percentage of Americans earn below $22,000?<BR>\n" );
document.write( "b)What percentage of Americans earn above $42,000? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #303906 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=303906\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Assume that the average annual salary for a worker in the United States is $30,000 and that the annual salaries for American are normally distributed with a standard deviation equal to $7,000. Find the following:<BR>\n" );
document.write( "a)What percentage of Americans earn below $22,000?<BR>\n" );
document.write( "z(22000) = (22000-30000)/7000 = -8/7<BR>\n" );
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document.write( "P(x < 22000) = P(z < -8/7) = 0.1265<BR>\n" );
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document.write( "b)What percentage of Americans earn above $42,000?<BR>\n" );
document.write( "z(42000) = (42000-30000)/7000 = 1.7143<BR>\n" );
document.write( "P(x > 42000) = P(z > 1.7143) = 0.0432<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );