Consider the discrete random variable X, with probability distribution: Three independent observations of X are taken and

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Consider the discrete random variable X, with probability distribution:


Three independent observations of X are taken and the values are added to form Y. Three independent observations of X are taken and the values of each Xi added to form Y where Y= X1 + X2 + X3.

a. Find Gx(t).

b. Find Gy(t).

c. Find P(Y = 1).

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