The Weibull distribution is widely used in statistical problems relating to aging of solid insulating materials subjected to aging and stress. Use this distribution as a model for time (in hours) to failure of solid insulating specimens subjected to AC voltage. The values of the parameters depend on thevoltage and temperature; suppose a = 2.8 and ß = 220.(a) What is the probability that a specimen's lifetime is at most 250? Less than 250? More than 300? (Round your answers to five decimal places.)at most 250less than 250more than 300(b) What is the probability that a specimen's lifetime is between 100 and 250? (Round your answer to four decimal places.)(c) What value (in hr) is such that exactly 50% of all specimens have lifetimes exceeding that value? (Round your answer to three decimal places.)hr

Given Alpha = 2.8 beta = 220 (a) What is the Probability at most 250 less than 250 more than 300 (b)…

Answered: The Weibull distribution is widely used…

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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Question 6 Consider a queueing system where the customers' time between arrivals is exponentially distributed with an average rate of 2.1 customers per hour. The service time distribution is not known but the average is 7.8 customers per hour. If the standard deviation of the service time is 0.8 hours, what is the expected number of clients in the system? Add your answer
Question 2. and variance o² = 4. (a) (b) Assume a random loss X follows a normal distribution with mean =1 Calculate the Value at Risk of X at the 95% level, i.e., VaRo.05(X). For a given constant c E IR, show that VaR,(X + c) = VaRp(X) +c for p E (0, 1).
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Question 18
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QUESTION 4 The time to failure of a typical household refrigerator has the following PDF Jo.000192t2 for 0sts 25 yr f(t) elsewhere Find: a. R(15) b. Construct the hazard rate function c. What is the probability that a failure will occur between the second and the tenth year? d. What is the MTTF? Attach File Browse Local Files Browse Content Collection
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QUESTION 1 Let X be a normal random variable with mean u = 68 and standard deviation o =11. What is the probability that Xwill be (a). more than 79? (b). between 57 and 79? (c), less than 46?
Question #1: If the average yield of yellow corn is 800 kg/du, and the standard deviation is 40 kg. Assuming that the amount of the crop follows a normal distribution. What is the probability that a plant yields? 1- Between 778 and 834 kg? (sketch) 2- More than 810 kg? (sketch) Please solve these two parts

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