(Solution) - Verify that the following pdfs have the indicated hazard functions -(2025 Original AI-Free Solution)

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Verify that the following pdfs have the indicated hazard functions (see Exercise 3.25).
(a) If T ~ exponential(?), then h?(t) = 1/0.
(b) If T ~ Weibull(?, ?), then h?(t) = (?/?)t?-1
(c) If T ~ logistic(?, ?), that is,

then h?(t) - (1/?)F?{t).