The electricvehicle manufacturing company Tesla estimates that a driver who commutes 5|} miles per day in a Model S will reouirl ._'I 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 121] minutes. 3. Give a mathematical expression for the probability density function of battery recharging time for this scenario. 1 A. m]: E forml {l elsewhere i for El] sf. a: f. 12l]I 3- fie} = 15 {I elsewhere 1 for El] s: s: s: 1EI5 C- Iii-=3 = 1s - - {l elsewhere The correct answer is: @ b. What is the probability that the recharge time will be less than 111] minutes [to 3 decimals)? 0 c. What is the probability that the recharge time required is at least 10D minutes {to 3 decimals)? 0 cl. What is the probability that the recharge time required is between 95 and 111] minutes {to 3 decimals)? 3