Let Y_1~Gamma(α=3,β=3), Y_2~Gamma(α=5,β=1), and W=2Y_1+6Y_2. a) (9 pts) Find the moment generating function ofW Justify all...

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Let Y_1~Gamma(α=3,β=3), Y_2~Gamma(α=5,β=1), and W=2Y_1+6Y_2.

a) (9 pts) Find the moment generating function ofW Justify all steps b) (3 pts) Based on your result in part (a), what is the distribution of W(name and parameters)?

math Statistics-And-Probability

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Answer 1

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Solution *a 1 Gt A. Hence mgf of Mute Compao.ng ngf of เง ม่¡th -thal of gomma distoibution of mit) - 1 เงิ follows gamma distitation with ROamah

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Answer 2

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Let Y_1~Gamma(α=3,β=3), Y_2~Gamma(α=5,β=1), and W=2Y_1+6Y_2. a) (9 pts) Find the moment generating function ofW Justify all...

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Let Y_1~Gamma(α=3,β=3), Y_2~Gamma(α=5,β=1), and W=2Y_1+6Y_2. a) (9 pts) Find the moment generating function ofW Justify all...

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Add Answer to: Let Y_1~Gamma(α=3,β=3), Y_2~Gamma(α=5,β=1), and W=2Y_1+6Y_2. a) (9 pts) Find the moment generating function ofW Justify all...

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Find the moment generating function for the following distributions: N(μ, σ2), Poisson(λ), Gamma(α, β), Chi-square with...

9. (9 pts) The random variable r-Gamma(x-2, β-4). functions to prove that the moment generating function...

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9. (9 pts) The random variable ??~??????????(∝= 2, ?? = 4). Use the method of moment-generating...

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Add Answer to:
Let Y_1~Gamma(α=3,β=3), Y_2~Gamma(α=5,β=1), and W=2Y_1+6Y_2. a) (9 pts) Find the moment generating function ofW Justify all...