4. Let X1 and X2 be discrete random variables with the joint multinomial distirbutionx22-x1-x22f(x1,x2) = (x8,1, X2, 2 – x1 – X2For x1 = 0,1,2; x, = 0,1,2; x1 + x2 < 2 and zero elsewhere. Find the joint probabilitydistirbution of Y, = X1 + X2 and Y2 = X1 – X2.

Name: 4. Let X1 and X2 be discrete random variables with the joint multinom
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Description: 4. Let X1 and X2 be discrete random variables with the joint multinomial distirbutionx22-x1-x22f(x1,x2) = (x8,1, X2, 2 – x1 – X2For x1 = 0,1,2; x, = 0,1,2; x1 + x2 < 2 and zero elsewhere. Find the joint probabilitydistirbution of Y, = X1 + X2 and Y2

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4. Let X1 and X2 be discrete random variables with the joint multinomial distirbution x2 2-x1-x2 2 f(x1,x2) = (x,x, 1, X2, 2 — Х1 — X2 For x1 = 0,1,2; x2 = 0,1,2; x1 + x2 < 2 and zero elsewhere. Find the joint probability distirbution of Y, = X1 + X2 and Y2 = X1 – X2. %3D

4. Let X1 and X2 be discrete random variables with the joint multinomial distirbution x2 2-x1-x2 2 f(x1,x2) = (x,x, 1, X2, 2 — Х1 — X2 For x1 = 0,1,2; x2 = 0,1,2; x1 + x2 < 2 and zero elsewhere. Find the joint probability distirbution of Y, = X1 + X2 and Y2 = X1 – X2. %3D

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Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.

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4. Let X1 and X2 be discrete random variables with the joint multinomial distirbution
x2
2-x1-x2
2
f(x1,x2) = (x8,
1, X2, 2 – x1 – X2
For x1 = 0,1,2; x, = 0,1,2; x1 + x2 < 2 and zero elsewhere. Find the joint probability
distirbution of Y, = X1 + X2 and Y2 = X1 – X2.

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