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. 80 sxS 120 f(x) = elsewhere (b) What is the probability that the recharge time will be less than 111 minutes? (c) What is the probability that the recharge time required is at least 89 minutes? (Round your answer to four decimal places.) (d) What is the probability that the recharge time required is between 85 and 115 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 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. 80 sxS 120 f(x) = elsewhere (b) What is the probability that the recharge time will be less than 111 minutes? (c) What is the probability that the recharge time required is at least 89 minutes? (Round your answer to four decimal places.) (d) What is the probability that the recharge time required is between 85 and 115 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

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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 85 and 115 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 108 minutes? (c) What is the probability that the recharge time required is at least 92 minutes? (d) What is the probability that the recharge time required is between 95 and 110 minutes?
Can someone explain it to me why I’m getting wrong answer??!!!
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Benford's Law claims that numbers chosen from very large data files tend to have "1" as the first nonzero digit disproportionately often. In fact, research has shown that if you randomly draw a number from a very large data file, the probability of getting a number with "1" as the leading digit is about 0.301. Suppose you are an auditor for a very large corporation. The revenue report involves millions of numbers in a large computer file. Let us say you took a random sample of n = 250 numerical entries from the file and r = 60 of the entries had a first nonzero digit of 1. Let p represent the population proportion of all numbers in the corporate file that have a first nonzero digit of 1. Test the claim that p is less than 0.301 by using α = 0.01. What does the area of the sampling distribution corresponding to your P-value look like? a. The area in the right tail of the standard normal curve. b. The area not including the right tail of the standard normal curve.…
This was what WAS given please helpppp