Suppose an electric-vehicle manufacturing company estimates that a driver who commutes 50 miles per day in a particular vehicle will require a nightly charge time of around 1 hour ane 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. 70 SxS 110 f(x) = elsewhere (b) What is the probability that the recharge time will be less than 99 minutes? (c) What is the probability that the recharge time required is at least 81 minutes? (Round your answer to four decimal places.) (d) What is the probability that the recharge time required is between 75 and 85 minutes?

Suppose an electric-vehicle manufacturing company estimates that a driver who commutes 50 miles per day in a particular vehicle will require a nightly charge time of around 1 hour ane 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. 70 SxS 110 f(x) = elsewhere (b) What is the probability that the recharge time will be less than 99 minutes? (c) What is the probability that the recharge time required is at least 81 minutes? (Round your answer to four decimal places.) (d) What is the probability that the recharge time required is between 75 and 85 minutes?

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Similar questions

Suppose an electric-vehicle manufacturing company estimates that a driver who commutes 50 miles per day in a particular vehicle will require 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. f(x) = , 70 ≤ x ≤ 110 , elsewhere
Suppose an electric-vehicle manufacturing company estimates that a driver who commutes 50 miles per day in a particular vehicle will require a nightly charge time of around 1 hour and 40 minutes (100 minutes) to recharge the vehicle's battery. Assume that the actual recharging time required is uniformly distributed between 80 and 120 minutes. (a) Give a mathematical expression for the probability density function of battery recharging time for this scenario. f(x) = , 80 ≤ x ≤ 120 , elsewhere (b) What is the probability that the recharge time will be less than 109 minutes? (c) What is the probability that the recharge time required is at least 91 minutes? (Round your answer to four decimal places.) (d) What is the probability that the recharge time required is between 90 and 100 minutes?
Suppose that a study of a certain computer system reveals that the response time, in seconds, has an exponential distribution with density curve f(x) = (1/3)e(-x/3) for x > 0 and f(x) = 0 otherwise. What is the probability that response time exceeds 5 seconds? What is the probability that response time exceeds 10 seconds?
If X has an exponential distribution with the param-eter θ, use the distribution function technique to find the probability density of the random variableY = ln X.
Suppose that the continuous random variable X has a probability density function, given by: Find the standard deviation of the random variable X.