The joint probability density function of random variables

Chapter , Problem 4

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The joint probability density function of random variables X, Y , and Z is given by f (x, y, z) = B c(x + y + 2z) if 0 x, y, z 1 0 otherwise. (a) Determine the value of c. (b) Find P (X < 1/3 | Y < 1/2, Z < 1/4).

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