(Solved): The electric-vehicle manufacturing company Tesla estimates that a driver who commutes 50 miles per ...

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. a. Give a mathematical expression for the probability density function of battery recharging time for this scenario. A. $$f(x)=\{\begin{array}{cc}\frac{1}{30}& \text{ for }90?x?120\\ 0& \text{ elsewhere }\end{array}$$ B. $$f(x)=\{\begin{array}{cc}\frac{1}{15}& \text{ for }90?x?120\\ 0& \text{ elsewhere }\end{array}$$ C. $$f(x)=\{\begin{array}{cc}\frac{1}{15}& \text{ for }90?x?105\\ 0& \text{ elsewhere }\end{array}$$ The correct answer is: b. What is the probability that the recharge time will be less than 110 minutes (to 3 decimals)? c. What is the probability that the recharge time required is at least 100 minutes (to 3 decimals)? d. What is the probability that the recharge time required is between 95 and 110 minutes (to 3 decimals)?