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. Suppose that the joint p.m.f of X and Y is modeled as fxy (x, y) = c(x+y), x=1, 2, 3 and y=1, 2, 3
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. Suppose that the joint p.m.f of X and Y is modeled as fxy (x, y) = c(x+y), x=1, 2, 3 and y=1, 2, 3
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.
- Suppose that the joint p.m.f of X and Y is modeled as fxy (x, y) = c(x+y), x=1, 2, 3 and y=1, 2, 3
Determine the value of c. - Determine the marginal p.m.f of X. Find also the
mean and variance of X. - Determine the conditional p.m.f of Y given X=2. Find also the conditional mean and conditional variance of Y given X=2.
- 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.
*SHOW COMPLETE SOLUTIONS WITH GIVEN, REQUIRED, AND SOLUTION. SHOW TABLE OR ILLUSTRATIONS IF NECESSARY
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