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.
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.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 31E
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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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Feebc29d3-c365-439a-aa7e-380c391fdf1d%2Fb32cf16f-2e0e-4957-ade7-f55081980d12%2Fq9ydbl8_processed.jpeg&w=3840&q=75)
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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