X and Y are two independent discrete random Variables. The CDFs as follows: x 0 4 5 F(x) 0.3 0.6 1 y 1 5 7 9 F(y) 0.2 0.5 0.6 1 Z is new random variable defined as Z = 3X+4Y+2. Find the following: Moment generating function of z: A table consisting of values of z and F(z) Find the first moment of Z

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