document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1159287>Question 1159287</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A new car that is a gas- and electric-powered hybrid has recently hit the market. The distance travelled on 1 gallon of fuel is normally distributed with a mean of 45 miles and a standard deviation of 7 miles. Find the probability of the following events\r<BR>\n" );
document.write( "\n" );
document.write( "A. The car travels more than 53 miles per gallon.\r<BR>\n" );
document.write( "\n" );
document.write( "B. The car travels less than 37 miles per gallon.\r<BR>\n" );
document.write( "\n" );
document.write( "C. The car travels between 37 and 48 miles per gallon. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #782279 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=782279\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> z=(x-mean)/sd<BR>\n" );
document.write( "z> (53-45)/7 or >1.143 with probability 0.1265\r<BR>\n" );
document.write( "\n" );
document.write( "fewer than 37 miles is z < (37-45) or <-1.143 or probability 0.1265 (the function is symmetrical)\r<BR>\n" );
document.write( "\n" );
document.write( "between 37 and 48 is z between -1.143 and + 0.429 probability is 0.5393 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );