document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=333949>Question 333949</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Assume that the average annual salary for a worker in the United States is $40,000 and that the annual salaries for Americans are normally distributed with a standard deviation equal to $6,500. Find the following:<BR>\n" );
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document.write( "(A)  What percentage of Americans earn below $35,000?<BR>\n" );
document.write( "(B)  What percentage of Americans earn above $45,000?<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #239306 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=239306\">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 $40,000 and that the annual salaries for Americans are that the annual salaries for Americans are normally distributed with a standard deviation equal to $6,500. Find the following:\r<BR>\n" );
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document.write( "(A) What percentage of Americans earn below $35,000?<BR>\n" );
document.write( "z(35000) = (35000-40000)/6500 = -0.7692<BR>\n" );
document.write( "P(x< 35000) = P(z< -0.7592) = 0.2209 = 22.09%<BR>\n" );
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document.write( "(B) What percentage of Americans earn above $45,000?<BR>\n" );
document.write( "z(45000) = (45000-40000)/6500 = +0.7692<BR>\n" );
document.write( "P(x> 45000) = P(z > 0.7692 = 0.2209 = 22.09%<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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