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Suppose that the random variable X has p.d.f. f(x) = 1 − |x − 1|, if...

Suppose that the random variable X has p.d.f. f(x) = 1 − |x − 1|, if 0 ≤ x ≤ c 0, otherwise . (a) Find the value of c. (b) Find the probability that X > 0.5. (c) Find the mean and variance of the random variable X.

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