Find the value of the constant c

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Suppose X, Y, and Z are random variables with joint density function 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: EM13203284

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