Question: Let X be a random variable with density f(x) = 0 x < 0 0.5 0 x 1 qex x

Let X be a random variable with density f(x) =

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0 x < 0 0.5 0 ≤ x ≤ 1 qe−αx x > 1.

(i) Find q if α is known. (ii) Find hazard h(t) and survival function S(t).

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