document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1131588>Question 1131588</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Sick-leave time used by employees of a firm in one month approximates a normal distribution with a mean of 165 hours and a variance of 225. In planning schedules for next month, how much time should be budgeted for sick leave if that amount is to be exceeded with a probability of 0.992?\r<BR>\n" );
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document.write( "(Please round your answer to four decimal places if necessary. Thank you!)<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 #748675 by </B><A HREF=/tutors/aboutme.mpl?userid=Boreal><B>Boreal(15235)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Boreal><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=Boreal><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=748675\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Probability of 0.992 is with a z-value of +2.41<BR>\n" );
document.write( "mean is 165<BR>\n" );
document.write( "sd is 15, sqrt(V)<BR>\n" );
document.write( "as question is written, want MORE than the value found.  That means the amount of hours is at the z value of -2.41.<BR>\n" );
document.write( "z<=(x-mean)/sd<BR>\n" );
document.write( "-2.41=(x-165)/15<BR>\n" );
document.write( "-36.15=x-165<BR>\n" );
document.write( "x=128.85 hours<BR>\n" );
document.write( "That has a 99.2% probability of being exceeded.<BR>\n" );
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