The Weibull distribution is widely used in statistical problems relating to agin

Question

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 the voltage and temperature suppose 2,7 and . 200. (a) What is the probability that a specimen's lifetime is at most 2507 Less than 2507 More than 300? (Round your answers to four decimal places) at most 250 less than 250 more than 300 and 2507 (hound your anawer tol (b) What is the probability that a specimen's lifetime is between 100 and 2507 (Round your answer to four decimal places.) (c) what value is such that exact y 50% of all specimens have lifetimes exceeding that value? (Round your answer to three decimal places.) hr

Explanation / Answer

from weibull distirbution with given paramter:

a) at most 250 =P(X<250)=0.8390

less then 250 =P(X<250)=0.8390

more then 300 =P(X>300)=1-P(X<300)=1-0.9496 =0.0504

b) P(100<X<250)=0.8390-0.1426 =0.6964

c) for 50th percentile ; corresponding value =174.613

Related Questions

Navigate

• Browse (All)
• Browse T
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.