document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1199971>Question 1199971</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The mean hourly pay rate for financial manager is $32.62 and the standard deviation $2.32, assume the pay rate are normally distributed.<BR>\n" );
document.write( "a.) What is the probability that a financial manager earns between $30 and $35 per hour.<BR>\n" );
document.write( "b.) How high must be hourly rate be to put a financial manager in the top 10% with respect to pay.<BR>\n" );
document.write( "c.) For a randomly selected financial manager, what is the probability that the manager earns less than $28 per hour. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #833960 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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/cgi-bin/show-face.mpl?user=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=833960\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> mean = 32.62<BR>\n" );
document.write( "standard deviation = 2.32.\r<BR>\n" );
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document.write( "the calculator at <a  rel=nofollow HREF= \"https://davidmlane.com/hyperstat/z_table.html\" target = \"_blank\">https://davidmlane.com/hyperstat/z_table.html</a> makes this easy.\r<BR>\n" );
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document.write( "the results for each questions are shown below:\r<BR>\n" );
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document.write( "a.) What is the probability that a financial manager earns between $30 and $35 per hour.\r<BR>\n" );
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document.write( "the probability is equal to .7181\r<BR>\n" );
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document.write( "b.) How high must be hourly rate be to put a financial manager in the top 10% with respect to pay.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" src = \"http://theo.x10hosting.com/2023/012902.jpg\">\r<BR>\n" );
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document.write( "the hourly rate must be greater than 35.593\r<BR>\n" );
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document.write( "c.) For a randomly selected financial manager, what is the probability that the manager earns less than $28 per hour.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" src = \"http://theo.x10hosting.com/2023/012903.jpg\">\r<BR>\n" );
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document.write( "the probability is equal to .0232\r<BR>\n" );
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document.write( "the calculator allows you to work directly with raw scores.<BR>\n" );
document.write( "if you need to know how to do this with z-score, let me know.<BR>\n" );
document.write( "theo\r<BR>\n" );
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document.write( " </SPAN>\n" );
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