5. Suppose the distance traveled in an ride-share trip in a certain area can be modeled by a randomvariable that has the probability density function f(x) = 1/5 for 5 < x < 10. For the same area, thedynamic pricing algorithm of the ride-share app charges X? – 10 dollars when X miles are traveled.(a) What is the expected distance traveled in a ride?(b) What is the expected cost of a ride?(c) What is the probability that a ride costs less than 50 dollars?

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Answered: . Suppose the distance traveled in an…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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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?

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. Suppose the distance traveled in an ride-share trip in a certain area can be modeled by a random variable that has the probability density function f(x) = 1/5 for 5