document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1192247>Question 1192247</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The salary of 500 employees of a production home follows normal distribution with mean 5700 taka as well as SD 500.Find probability of<BR>\n" );
document.write( "(a)salary more than 5800 taka<BR>\n" );
document.write( "(b)salary between 5200-6000 taka </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #824145 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=824145\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> mean = 5700<BR>\n" );
document.write( "standard deviation = 500<BR>\n" );
document.write( "z-score = (x - m) / s<BR>\n" );
document.write( "x is the raw score<BR>\n" );
document.write( "m is the mean<BR>\n" );
document.write( "s is the standard deviation.<BR>\n" );
document.write( "when x = 5800, z = (5800 - 5700) / 500 = .2<BR>\n" );
document.write( "i used the z-score table at <a  rel=nofollow HREF= \"https://www.rit.edu/academicsuccesscenter/sites/rit.edu.academicsuccesscenter/files/documents/math-handouts/Standard%20Normal%20Distribution%20Table.pdf\" target = \"_blank\">https://www.rit.edu/academicsuccesscenter/sites/rit.edu.academicsuccesscenter/files/documents/math-handouts/Standard%20Normal%20Distribution%20Table.pdf</a><BR>\n" );
document.write( "that table gives you the area to the left of the z-score.<BR>\n" );
document.write( "area to the left of a z-score of .2 = .57926<BR>\n" );
document.write( "area to the right of that z-score = 1 - .57926 = .42074<BR>\n" );
document.write( "that's the probability of getting a score greater than 5800.<BR>\n" );
document.write( "to get the probability between two z-scores, you want to get the low z-score and the high z-score and take the area to the left of each and then subtract the smaller area from the larger area.<BR>\n" );
document.write( "when x = 5200, z = (5200 - 5700) / 500 = -1.<BR>\n" );
document.write( "area to the left of that z-score = .15866<BR>\n" );
document.write( "when x = 6000, z = (6000 - 5700) / 500 = .6<BR>\n" );
document.write( "area to the left of that z-score = .72575<BR>\n" );
document.write( "area in between = .72575 - .15866 = .56709<BR>\n" );
document.write( "that's the probability of getting a score between 5200 and 6000.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );