document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=245189>Question 245189</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Assume that the average annual salary for a worker in the United States is $28,000 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 $24,000? <BR>\n" );
document.write( "(B)What percentage of Americans earn above $36,000? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #179255 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=179255\">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 $28,000 and 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 $24,000?<BR>\n" );
document.write( "Find the z-value of 24000<BR>\n" );
document.write( "z(24000) = (24000-28000)/6500 = -4000/6500 = -0.615<BR>\n" );
document.write( "P(x < 24000) = P(z < -0.615) = 0.269<BR>\n" );
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document.write( "(B)What percentage of Americans earn above $36,000?<BR>\n" );
document.write( "z(36000) = (36000-28000)/6500 = 1.231<BR>\n" );
document.write( "P(x > 36000) = P(z > 1.231) = 0.109<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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