Suppose an electric-vehicle manufacturing company estimates that a driver who commutes 50 m 5 per day n a part ular vehicle will reg re a nightly charge time of around 1 hour and 30 minutes (90 minutes) to recharge the vehicle's battery. Assume that the actual recharging time required is uniformly distributed between 70 and 110 minutes. (a) Give a mathematical expression for the probability density function of battery recharging time for this scenario' m :r (b) What is the probability that the recharge time will be less than 99 minutes? E (c) What is the probability that the recharge time required is at least 81 minutes? (Round your answer to four decimal places.) E (d) What is the probability that the recharge time required is between 80 and 90 minutes? E