document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1055026>Question 1055026</A>: <I><SPAN STYLE=\"word-break: break-all;\"> the waiting time x at a certain bank is approximately normally distributed with a mean of 3.7 minutes and a standard deviation of 1.4 minutes. \r<BR>\n" );
document.write( "\n" );
document.write( "find the 75th percentile for waiting times at this bank. <BR>\n" );
document.write( "Find the probability that a customer has to wait more than 6 minutes. <BR>\n" );
document.write( "I believe the probability is 0.05 or 5 percent for this one but I'm not sure. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #670220 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=670220\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> mean of 3.7 minutes and a standard deviation of 1.4 minutes<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=z+=blue+%28x+-+mu%29%2Fblue%28sigma%29 ALIGN=MIDDLE  ALT=\"z+=blue+%28x+-+mu%29%2Fblue%28sigma%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "0r<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=blue%28sigma%29%2Az+%2B+mu=+blue+%28x%29 ALIGN=MIDDLE  ALT=\"blue%28sigma%29%2Az+%2B+mu=+blue+%28x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "the 75th percentile for waiting times at this bank: z  = invNorm(.75) = .6745<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=blue%281.4%29%2A.6745+%2B+3.7=+blue+%284.6436%29 ALIGN=MIDDLE  ALT=\"blue%281.4%29%2A.6745+%2B+3.7=+blue+%284.6436%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > x = 4.7  always round Up for these<BR>\n" );
document.write( "|<BR>\n" );
document.write( "P(x > 6) = P(<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=z+=blue+%286.0+-+3.7%29%2Fblue%281.4%29 ALIGN=MIDDLE  ALT=\"z+=blue+%286.0+-+3.7%29%2Fblue%281.4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > )<BR>\n" );
document.write( "Find z  and then find P(z > value found) = normalcdf(value found, 100) 100 a placeholder<BR>\n" );
document.write( "z = 1.6429<BR>\n" );
document.write( "P(z > 1.6429) = normalcdf(1.6429, 100) = .05  0r 5%<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );