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. 1 for 90

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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) =
for 90 <x < 120
30
elsewhere
1
for 90 <x < 120
15
B. f(x) =
elsewhere
1
for 90 <x < 105
15
C. f(x) =
С.
elsewhere
The correct answer is:
- Select your answer
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)?
Transcribed Image Text: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) = for 90 <x < 120 30 elsewhere 1 for 90 <x < 120 15 B. f(x) = elsewhere 1 for 90 <x < 105 15 C. f(x) = С. elsewhere The correct answer is: - Select your answer 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)?
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