document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1117864>Question 1117864</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The mean gas mileage for a hybrid car is 57 miles per gallon. Suppose that the gasoline mileage is approximately normally distributed with a standard deviation of 3.5 miles per gallon.(a) What proportion of hybrids gets over 61 miles per gallon? <BR>\n" );
document.write( "(b) What proportion of hybrids gets 50 miles per gallon or less? left parenthesis <BR>\n" );
document.write( "(c) right parenthesis What proportion of hybrids gets between 59 and 61 miles per gallon?<BR>\n" );
document.write( "(d) What is the probability that a randomly selected hybrid gets less than 46 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 #733048 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=733048\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> z=(x-mean)/sd<BR>\n" );
document.write( "for a, (61-57)/3.5 or a z of 1.14  Probability z>1,14 is 0.1271.<BR>\n" );
document.write( "for b, (50-57)/3.5 is a z < -2.  This has a probability of 0.0228<BR>\n" );
document.write( "Fob c, z is between (59-57)/3.5 and (61-57)/3.5 or a z between 0.57 and 1.14 with a probability of 0.1572<BR>\n" );
document.write( "For d, it is the probability of (46-57)/3.5 or  -11/3.5 or z<-3.14 for a probability of 0.0008. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );