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 solidinsulating specimens subjected to AC voltage. The values of the parameters depend on the voltage and temperature; suppose a = 2.6 and B = 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 3000.75200.75200.1065xXX(b) What is the probability that a specimen's lifetime is between 100 and 250? (Round your answer to four decimal places.)0.6312(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.)191Xhr

Given that The Weibull distribution is widely used in statistical problems relating to aging of…

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 27 An investor has decided to form a portfolio by putting 55% of his money into Tesla's stock and 45% into Honda's stock. The investor assumes that the expected returns will be 18% on Tesla and 12% on Honda, and that the standard deviations will be 15% and 10%, respectively. What is the expected (mean) return on the portfolio? O E [Return on portfolio] = 0.135 %3D O E [Return on portfolio] = 0.204 %3D O E [Return on portfolio] = 0.153 O E [Return on portfolio] = 0.351 %3D
The per capita energy consumption level (in kilowatt- hours) in a certain country for a recent year can be approximated by a normal distribution, as shown in the figure. (a) What consumption level represents the 4th percentile? (b) What consumption level represents the 23rd percentile? (c) What consumption level represents the third quartile? The ... 317 μ=2317 kWh o=582.4 kWh G 2317 Kilowatt-hours X 4317 (a) The consumption level that represents the 4th percentile is kilowatt-hours. (Round to the nearest integer as needed.) O
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
Question* The average yearly consumption of water per person in Lebanon is 120 liters with a standard deviation a. Suppose that the yearly consumption of water follow a normal distribution Fnd o if the probability that the Lebanese people need more than 200 liters per year is equal to 0.2296. O 64.9 87.72 108.1 None of these Question
Question 5: A test engineer discovered that the cumulative distribution function of the lifetime of an equipment (in years) is given by Fx(x)= 1-e VS), x20. What is the expected lifetime of the equipment? 直。
Question 4 You are conducting a study to see if the probability of catching the flu this year is significantly different from 46%. With H:p 46% you obtain a test statistic ofz = 1.307. Find the p-value accurate to 4 decimal places, p-value =
QUESTION 25 Let X have a normal distribution with μ = 100 and σ = 20. Between which two values of X is the central 70% probability? (59, 138) (82, 156) (66, 110) (73, 127)
Question 1 Ester throws a dice 15 times. What is the standard deviation of the number of sixes that come up? 1. 2.08. 2. 2.5. 3. 1.44. 4. 15. 5. R-command:
Question 8, section 6.1
QUESTION 1 The same scenario is used for all questions. New parents in a little town buy two major brands of infant formulas, labeled A and B. After some intensive study, a marketing researcher for one of the manufacturers found that the probability of parents purchasing A or B is based on the parents' most recent purchase. Suppose that the following transition probabilities are appropriate O Probabilities of Parents Purchasing A or B From A To A To B O A B B Which of the following is the correct two period tree diagram for a customer who last purchased Brand A? O A 0.75 A 0.20 0.25 0.75 0.75 0.25 0.25 0.75 A B A B A 0.25 B 0.80 0.75 0.25 0.20 0.80 0.75 0.25 0.20 0.80 0.25 0.75 0.20 0.80 A B A B A B A B A B A B (0.25)(0.75)-0.1875 (0.25)(0.25) 0.0625 (0.75)(0.20) 0.1500 (0.75)(0.80)-0.6000 (0.75)(0.75)=0.5625 (0.75)(0.25)-0.1875 (0.25)(0.20)-0.0500 (0.25)(0.80)-0.2000 (0.25)(0.25) 0.0625 (0.25)(0.75)-0.1875 (0.75)(0.20) 0.1500 (0.75)(0.80) 0.6000
Question 2 The population average of a college test score of students is 100 with a standard deviation of 25. For 16 students what is the probability that the mean will be less than 75?
Question 12 Below is the distribution for a data set. P(x) 4. 0.23 0.27 8. 0.31 10 0.04 11 0.15 Calculate the standard deviation of the data set from this probability distribution. [three decimal accuracy] Submit Question 61

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