N(u = 0, 02 = 4), Y2 ~ N(µ = 3, o? Consider the three normal random variables Y1 Y3 ~ N(u = -3, o² = 3). Find the distribution of the following random variables. 1), and Y1 a. 1+* b. 5Y1 + Y2 + Y3 c. ()* + (Y2 – 3)²

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N(u = 0,02 = 4), Y2 ~ N(µ = 3,02 = 1), and
Consider the three normal random variables Y1
Y3 ~ N(µ = -3,o² = 3). Find the distribution of the following random variables.
~
a. 1+ 4
b. 5Y1 + Y2 + Y3
c. () + (Y2 – 3)²
2
2
Transcribed Image Text:N(u = 0,02 = 4), Y2 ~ N(µ = 3,02 = 1), and Consider the three normal random variables Y1 Y3 ~ N(µ = -3,o² = 3). Find the distribution of the following random variables. ~ a. 1+ 4 b. 5Y1 + Y2 + Y3 c. () + (Y2 – 3)² 2 2
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