document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=747311>Question 747311</A>: <I><SPAN STYLE=\"word-break: break-all;\">  On the daily run of an express bus, the average number of passengers is 48. The<BR>\n" );
document.write( " standard deviation is 3.  Assume the variable is normally distributed. Find the probability that the bus will have fewer than 42?\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "more than 48?<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 #454813 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=454813\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> On the daily run of an express bus, the average number of passengers is 48. The<BR>\n" );
document.write( "standard deviation is 3. Assume the variable is normally distributed. <BR>\n" );
document.write( "Find the probability that the bus will have <BR>\n" );
document.write( "a) fewer than 42?<BR>\n" );
document.write( "z(42) = (42-48)/3 = -2<BR>\n" );
document.write( "P(x < 42) = P(z < -2) = 0.0228<BR>\n" );
document.write( "----------------<BR>\n" );
document.write( "b) more than 48?<BR>\n" );
document.write( "z(48) = (48-48)/3 = 0<BR>\n" );
document.write( "P(x > 48) = P(z > 0) = 0.5000<BR>\n" );
document.write( "===================================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "=================<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );