6. If the joint density function of X and Y is given byf(x,y) =19) =(x² - y²),0,1 < x < 2,0 < y < 1,elsewhereFind the expected value of g(X,Y) = YX + Y

The Joint PDF of X and Y are:The question required to calculate the expected value of the g(x,y) =…

Answered: 6. If the joint density function of X…

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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The life lengths of two transistors in an electronic circuit is a random vector (X; Y ) where X is the life length of transistor 1 and Y is the life length of transistor 2. The joint probability density function of (X; Y ) is given by 2e-(x+2y) X> 0, γ> 0 fx,ylx,v) = { else Then the probability that the first transistor last for at least half hour given that the second one lasts at least half hour equals Select one: a. 0.7772 b. 0.3935 10 c. 0.606 d. 0.6318 e. 0.3669
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Let f(x) is density function of continuous random variable x then the (expected value E(x Ek) = [ xfx)dx Ew) = [_fx)dx - 00 Ek) = ] -xfx)dx Ex)= | xf(x)dx
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6. If the joint density function of X and Y is given by f(x,y) = - (x² - y²), 1