Question: 2. Let (X1,X2,X3) be a random sample from a Poisson population with mean . Determine the moment-generating function of the random variable Y = 2X1

2. Let (X1,X2,X3) be a random sample from a Poisson population with mean λ. Determine the moment-generating function of the random variable Y = 2X1 + 3X2 + X3 and use it to find the mean and the variance of the random variable Y .

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