Suppose X₁,..., Xn is a random sample of a population with a probability function. f(x₁) = (x − ¹) 0¹ (1 − 0)x−³ ; x = r,r + 1,r + 2, ... 1 1. Specify the moment generator function of X 2. Specify the meter for using the moment method 3. Determine the moment generator function of Y = X₁ + X₂ + X3 and write the probability function of Y 4. Determine E (Y) based on the moment generator function of Y

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