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1. Tesla Battery Recharge Time. 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. 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?

1. Tesla Battery Recharge Time. 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. 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?

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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1. Tesla Battery Recharge Time. 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. 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?
Transcribed Image Text:1. Tesla Battery Recharge Time. 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. 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?
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