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2. A continuous random variable, X, has the following cumulative distribution function: FO -3x for r 2 0 otherwise. (a) Derive probability density function of

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2. A continuous random variable, X, has the following cumulative distribution function: FO -3x for r 2 0 otherwise. (a) Derive probability density function of X. (b) Find r, such that P(X > r) = 0.05. (c) Calculate P(X > 3| X > 2)

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