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8 Let X and Y be jointly normal random variables with parameters μ₁0₁ μ₂ = -1,0²1, o = 4, and p = -1/2. 8(a) Find P(X+Y > 0). 8(b) Find the constant a if we know that aX + Y and X + 2Y are independent. 8(c) Find P(X+Y>0|2X - Y = 0).

8 Let X and Y be jointly normal random variables with parameters μ₁0₁ μ₂ = -1,0²1, o = 4, and p = -1/2. 8(a) Find P(X+Y > 0). 8(b) Find the constant a if we know that aX + Y and X + 2Y are independent. 8(c) Find P(X+Y>0|2X - Y = 0).

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Q8 Let X and Y be jointly normal random variables with parameters μ = 0, µ₂ = −1, 0² = 1, 0² = 4, and p = -1/2. Q8(a) Find P(X+Y> 0). Q8(b) Find the constant a if we know that aX+ Y and X + 2Y are independent. Q8(c) Find P(X+Y> 0|2X – Y = 0).
Transcribed Image Text:Q8 Let X and Y be jointly normal random variables with parameters μ = 0, µ₂ = −1, 0² = 1, 0² = 4, and p = -1/2. Q8(a) Find P(X+Y> 0). Q8(b) Find the constant a if we know that aX+ Y and X + 2Y are independent. Q8(c) Find P(X+Y> 0|2X – Y = 0).
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