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(c) What is the median failure time of a light bulb? (d) What is the hazard rate?

(c) What is the median failure time of a light bulb? (d) What is the hazard rate?

MATLAB: An Introduction with Applications
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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Please do c and d

17.5.4 The failure time of a light bulb in days is modeled as a Weibull distribution with parameters a = 2.5 and λ = 0.01. (a) What is the probability that a light bulb is still operating after 120 days? (b) What is the probability that a light bulb fails within 50 days? (c) What is the median failure time of a light bulb? (d) What is the hazard rate? (e) How much more likely to suddenly fail is a light bulb operating after 120 days compared with a light bulb operating after 100 days?
Transcribed Image Text:17.5.4 The failure time of a light bulb in days is modeled as a Weibull distribution with parameters a = 2.5 and λ = 0.01. (a) What is the probability that a light bulb is still operating after 120 days? (b) What is the probability that a light bulb fails within 50 days? (c) What is the median failure time of a light bulb? (d) What is the hazard rate? (e) How much more likely to suddenly fail is a light bulb operating after 120 days compared with a light bulb operating after 100 days?
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