Question: 3.36 For a laboratory assignment, if the equipment is working, the density function of the observed outcome, X, is f(x) = 2(1 x),

3.36 For a laboratory assignment, if the equipment is working, the density function of the observed outcome, X, is f(x) =



2(1 − x), 0 < x < 1, 0, otherwise.

(a) Calculate P(X < 0.5).

(b) What is the probability that X will exceed 0.4?

(c) Given that X ≥ 0.5, what is the probability that X will be less than 0.7?

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