document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1137290>Question 1137290</A>: <I><SPAN STYLE=\"word-break: break-all;\"> On a dry surface, the braking distance (in meters) of a certain car is a normal distribution with a mean of 45.1 and a standard deviation of 0.5.<BR>\n" );
document.write( "a)find the breaking distance that corresponds to z=1.8<BR>\n" );
document.write( "b)find the breaking distance that represents the 91st percentile<BR>\n" );
document.write( "c)find the z-score for a breaking distance of 46.1m<BR>\n" );
document.write( "d)find the probability that the breaking distance is less than or equal to 45m<BR>\n" );
document.write( "e)find the probability that the breaking distance is greater than 46.8m </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #755158 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=755158\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> z=(x-mean)/sd<BR>\n" );
document.write( "z=1.8=(x-45.1)/0.5<BR>\n" );
document.write( "0.9=x-45.1<BR>\n" );
document.write( "x=46 m ANSWER a\r<BR>\n" );
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document.write( "91st percentile z=1.341<BR>\n" );
document.write( "Here, 1.341=(x-45)/0.5<BR>\n" );
document.write( "0.67=x-45.1<BR>\n" );
document.write( "x=45.8 m  (rounded) ANSWER b\r<BR>\n" );
document.write( "\n" );
document.write( "less than 45 has a z=(45-45.1)/0.5 or a z<-.1/.5 or z<-0.2<BR>\n" );
document.write( "That probability is 0.4207 ANSWER c\r<BR>\n" );
document.write( "\n" );
document.write( "greater than 46.8 is z>1.7/0.5 or z> 3.4<BR>\n" );
document.write( "This probability is 0.0003 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );