The failure time of a light bulb in days is modeled as a Weibull distribution with parameters

Question:

The failure time of a light bulb in days is modeled as a Weibull 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?
Distribution
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