Explain joint density funciton

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Suppose X, Y and Z are random variables with joint density funciton f (x, y, z) = Ce^-(0.5x+0.2y+0.1z) if x>0, y>0, z>0 and f(x, y, z) = 0 otherwise.
(a) Find the value of the constant C.
(b) Find P (X<1, Y<1).
(c) Find P (X<1, Y<1, Z<1).

Reference no: EM13204389

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