document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=361195>Question 361195</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Assume that the average annual salary for a worker in the United States is $37,500 and that the annual salaries for Americans are normally distributed with a standard deviation equal to $7,000. Find the following:<BR>\n" );
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document.write( "(A)  What percentage of Americans earn below $27,000? <BR>\n" );
document.write( "(B)  What percentage of Americans earn above $45,000?<BR>\n" );
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document.write( "Please show all of your work. <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 #257625 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=257625\">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 $37,500 and that the annual salaries for Americans are normally distributed with a standard deviation equal to $7,000. Find the following:\r<BR>\n" );
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document.write( "(A) What percentage of Americans earn below $27,000?<BR>\n" );
document.write( "Find the z-value of 27000.<BR>\n" );
document.write( "z(27000) = (27000-37500)/7000 = -1.5<BR>\n" );
document.write( "Find the probability that z could be lower.<BR>\n" );
document.write( "P(x < 27000) = P(z< -1.5) = 0.0668<BR>\n" );
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document.write( "I get 0.0668<BR>\n" );
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document.write( "(B) What percentage of Americans earn above $45,000?<BR>\n" );
document.write( "Find the z-value of 45000.<BR>\n" );
document.write( "z(45000) = (45000-37500)/7000 = 1.0714..<BR>\n" );
document.write( "Find the probability that z could be higher.<BR>\n" );
document.write( "P(x > 45000) = P(z > 1.0714) = 0.1420<BR>\n" );
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document.write( "I get 0.1420<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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