PROBABILITY & STATS FOR ENGINEERING &SCI
9th Edition
ISBN: 9781285099804
Author: DEVORE
Publisher: CENGAGE L
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Textbook Question
Chapter 4.5, Problem 73E
The authors of the article “A Probabilistic Insulation Life Model for Combined Thermal-Electrical Stresses” (IEEE Trans. on Elect. Insulation, 1985:519–522) state that “the Weibull distribution is widely used in statistical problems relating to aging of solid insulating materials subjected to aging and stress.”They propose the use of the 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 the voltage and temperature; suppose α = 2.5 and β = 200 (values suggested by data in the article).
a. What is the
b. What is the probability that a specimen’s lifetime is between 100 and 250?
c. What value is such that exactly 50% of all specimens have lifetimes exceeding that value?
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Chapter 4 Solutions
PROBABILITY & STATS FOR ENGINEERING &SCI
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