Mathematics, 16.07.2020 16:01 evere11605

Let X1, X2, X3 be mutually independent random variables with Poisson distributions having means 2, 1, and 4, respectively. (a) Find the mgf of the sum Y = X1 + X2 + X3.
(b) How is Y distributed?
(c) Compute P(3 ≤ Y ≤ 9).

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Let X1, X2, X3 be mutually independent random variables with Poisson distributions having means 2, 1, and 4, respectively. (a) Find the mgf of the sum Y = X1 + X2 + X3. (b) How is Y distributed? (c) Compute P(3 ≤ Y ≤ 9).

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Another question on Mathematics

Let X1, X2, X3 be mutually independent random variables with Poisson distributions having means 2, 1, and 4, respectively. (a) Find the mgf of the sum Y = X1 + X2 + X3.
(b) How is Y distributed?
(c) Compute P(3 ≤ Y ≤ 9).