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

MATLAB: An Introduction with Applications
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Please do a and b

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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