The electric-vehicle manufacturing company Tesla estimates that a driver who commutes miles per day in a Model S will require a nightly charge time of around hour and minutes ( minutes) to recharge the vehicle's battery (Tesla company website). Assume that the actual recharging time required is uniformly distributed between and minutes. A. Give a mathematical expression for the probability density function of battery recharging time for this scenario.
B. What is the probability that the recharge time will be less than 110 minutes?C. What is the probability that the recharge time required is at least 100 minutes?D. What is the probability that the recharge time required is between 95 and 110 minutes?