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Exercise 4.1 The number of defects on the front side (X) of a wooden panel and the number of defects on the rear side (Y) of the panel are under study. 1. Suppose that the joint p.m.fof X and Y is modeled as fo (x, y) = s(x +y), x = 1, 2, 3 and y = 1, 2, 3 Determine the value of c. 2. Determine the marginal p.m.f of X. Find also the mean and variance of X. 3. Determine the conditional p.mf of Y given X= 2. Find also the conditional mean and conditional variance of Y given X= 2. 4. Check if the number of defects on the front side (X) of a wooden panel

Exercise 4.1 The number of defects on the front side (X) of a wooden panel and the number of defects on the rear side (Y) of the panel are under study. 1. Suppose that the joint p.m.fof X and Y is modeled as fo (x, y) = s(x +y), x = 1, 2, 3 and y = 1, 2, 3 Determine the value of c. 2. Determine the marginal p.m.f of X. Find also the mean and variance of X. 3. Determine the conditional p.mf of Y given X= 2. Find also the conditional mean and conditional variance of Y given X= 2. 4. Check if the number of defects on the front side (X) of a wooden panel

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 93E
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Exercise 4.1 The number of defects on the front side (X) of a wooden panel and the number of defects on the rear side (Y) of the panel are under study. 1. Suppose that the joint p.m.f of X and Y is modeled as fo (x, y) = s(x +y), x = 1, 2, 3 and y = 1, 2, 3 Determine the value of c. 2. Determine the marginal p.m.f. of X. Find also the mean and variance of X. 3. Determine the conditional p.mf of Y given X= 2. Find also the conditional mean and conditional variance of Y given X= 2. 4. Check if the number of defects on the front side (X) of a wooden panel and the number of defects on the rear side (Y) of the panel are independent.
Transcribed Image Text:Exercise 4.1 The number of defects on the front side (X) of a wooden panel and the number of defects on the rear side (Y) of the panel are under study. 1. Suppose that the joint p.m.f of X and Y is modeled as fo (x, y) = s(x +y), x = 1, 2, 3 and y = 1, 2, 3 Determine the value of c. 2. Determine the marginal p.m.f. of X. Find also the mean and variance of X. 3. Determine the conditional p.mf of Y given X= 2. Find also the conditional mean and conditional variance of Y given X= 2. 4. Check if the number of defects on the front side (X) of a wooden panel and the number of defects on the rear side (Y) of the panel are independent.
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