Could you solve with hand work please. (no computer work please) Thank you 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).

Let X and Y be jointly random variables with parameters

Answered: 8 Let X and Y be jointly normal random…

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter10: Sequences, Series, And Probability

Section10.8: Probability

Problem 32E

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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).