document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1152653>Question 1152653</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The electric­ vehicle manufacturing company Tesla esti­mates that a driver who commutes 50 miles per day in a Model S will require a nightly charge time of around 1 hour and 45 minutes (105 minutes) to recharge the vehicle’s battery (Tesla company website). Assume that the actual recharging time required is uniformly distributed between 90 and 120 minutes.<BR>\n" );
document.write( "a. Give a mathematical expression for the probability density function of battery rechar­ging time for this scenario.<BR>\n" );
document.write( "b. What is the probability that the recharge time will be less than 110 minutes? <BR>\n" );
document.write( "c. What is the probability that the recharge time required is at least 100 minutes?<BR>\n" );
document.write( "d. What is the probability that the recharge time required is between 95 and 110 minutes? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #775510 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=775510\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> it will be f(x)=1/(b-a), b=120 and a =90 units min<BR>\n" );
document.write( "for <110 min it would be 20/30 or 2/3 prob.<BR>\n" );
document.write( "at least 100 min would be 20/30 or 2/3<BR>\n" );
document.write( "between 95 and 110 min is 15/30 or 1/2\r<BR>\n" );
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document.write( "greater than/less than include the number itself in a density function, since everything reduces to a dimensionless point. </SPAN>\n" );
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