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X, Y, Z independent X~Exponential(2), Y~Exponential(3), Z~Exponential(4). Find , (1) P(3X + 4Y + 5Z > 2) (2) E[(X+Y)^3] (3) E(max(X, Y, Z)) (4) P(X>Y|X>Z)

X, Y, Z independent

X~Exponential(2), Y~Exponential(3), Z~Exponential(4).

Find ,

(1) P(3X + 4Y + 5Z > 2)

(2) E[(X+Y)^3]

(3) E(max(X, Y, Z))

(4) P(X>Y|X>Z)

(5) E((2X+3Y+4Z)^3)

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