Consider the following joint distribution of X and YX\Y-427Sum1/81/41/41/81/81/4151/81/2Sum3/83/81Find:1. Е(X)2. E(Y)3. ÇoylXY4. Ох, бу5. p(X,Y) A probability distribution for two (or more) random variables is shown as ajoint probability distribution.The standard is to utilize X and Y instead of A and B for events.f(x,y) = P(X= x, Y = y) is the formal definition.The joint distribution's entire purpose is to find a link between twovariables.Step 2: SolutionPart 1)E(X) = Ex. P(x)= (1) (}) + (5) ()=3Part 2)E(Y) = Ey. P(y)= (-4) () + (2) (}) +7(†)= 1Part 3)ΣΧ. Υ.Pxy (Χ, Υ)= (1)(-4) (4) + (1) (2) (4) + (1) (7) (→) + (5) (-4) (4)+ (5) (2) () + (5) (7) (G)E (XY) == 1.5COV (х,у) %3D Е (ХҮ) —Ε (X) E (Υ)= 1.5 - (3) (1)= -1.5

Answered: Image /qna-images/answer/9112c00b-f4b5-4a0b-a9d8-bfdd3d7d8e0e.jpg

Answered: Consider the following joint…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

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Consider the following joint distribution of X and Y X\Y -4 2 7 Sum 1/4 1/8 1/8 1/8 1/8 1/4 1/2 Sum 3/8 3/8 1/4 1 Find: 1. E(X) 2. E(Y) 3. ÇoylXY) 4. Ox, Oy 5. ρ(Χ, Υ)