document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=910843>Question 910843</A>: <I><SPAN STYLE=\"word-break: break-all;\"> As a part of the productivity assessment at a company, the HR <BR>\n" );
document.write( "Manager carried out a survey and found that inclusive of overtime the <BR>\n" );
document.write( "amount of time spent at work per week follows a normal distribution <BR>\n" );
document.write( "with &#956;=47 hours and &#963;2=4. <BR>\n" );
document.write( "a. If persons in the top 2 percentile are considered workaholics, <BR>\n" );
document.write( "what is the least amount of time these persons work per week?<BR>\n" );
document.write( "b. Calculate the probability that X&#8804;40<BR>\n" );
document.write( "c. Find the range that is likely to contain 95% of the data distributed <BR>\n" );
document.write( "symmetrically around the mean.<BR>\n" );
document.write( "d. Determine the probability that the length of the work week is <BR>\n" );
document.write( "between 45 and 55 hours<BR>\n" );
document.write( "e. What is the probability that the work week is less than 42 or <BR>\n" );
document.write( "greater than 49 hours?<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #552697 by </B><A HREF=/tutors/aboutme.mpl?userid=ewatrrr><B>ewatrrr(24785)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ewatrrr><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=ewatrrr><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=552697\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> &#956;=47 hours and &#963;2=4. <BR>\n" );
document.write( "a. 4invNorm(.98) + 47 = X,least amount of time these persons work per week<BR>\n" );
document.write( "b.P(x &#8804; 40) = normalcdf(-100,40,47,4)<BR>\n" );
document.write( "c. 4invNorm(2.5)+47 = Xlow and 4invNorm(97.5) + 47 = Xhigh<BR>\n" );
document.write( "c. P(45 < x < 55) = normalcdf(45,55,47,4)<BR>\n" );
document.write( "e. normal(-100,42,47,4) + (49,100,47,4) </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );