Let X1, X2, andX3 be independent and normally distributed random variables with E(X1) = 4, E(X2) = 3, E(X3) 2, Var(X1) = 1, Var(X2) = 5, Var(X3) = 2. Let Y = 2X1+ X2 – 3X3. Find %3D the distribution of Y.

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Let X1, X2, and.X3 be independent and normally distributed random variables with E(X1)
4, E(X2) = 3, E(X3) = 2, Var(X1) = 1, Var(X2) = 5, Var(X3) = 2. Let Y = 2X1 + X2 – 3X3. Find
2.
the distribution of Y.
Transcribed Image Text:Let X1, X2, and.X3 be independent and normally distributed random variables with E(X1) 4, E(X2) = 3, E(X3) = 2, Var(X1) = 1, Var(X2) = 5, Var(X3) = 2. Let Y = 2X1 + X2 – 3X3. Find 2. the distribution of Y.
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