Exercise 4.3 Two measurement methods are used to evaluate the surface smoothness of a paper product. Let X and Y denote the measurements of each of the two methods. 1. Suppose that the joint p.d.f of X and Y is modeled by fo (x, y) = c, 0

Exercise 4.3 Two measurement methods are used to evaluate the surface smoothness of a paper product. Let X and Y denote the measurements of each of the two methods. 1. Suppose that the joint p.d.f of X and Y is modeled by fo (x, y) = c, 0

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Exercise 4.3 Two measurement methods are used to evaluate the surface smoothness of a paper product. Let X and Y denote the measurements of each of the two methods. Suppose that the joint p.d.f of X and Y is modeled by fxy (x, y) = c, 0 <x <4, 0<y and x-1 < y <x+1 Determine the value of c. Determine the marginal probability distribution of X. Find also the mean and variance of X. Determine the conditional probability distribution of Y given X=2. Find also the conditional mean and conditional variance of Y given X=2 Check if the measurements of the two methods X and Y are independent. * SHOW COMPLETE SOLUTION WITH GIVEN, REQUIRED, AND SOLUTION. SHOW TABLE OF ILLUSTRATIONS IF NECESSARY.