9.THEORY OF DISTRIBUTIONS Suppose that, for −1 ≤ a ≤ 1, the probability density function of (X₁, X₂) is given by-f(x₁, x₂) = {[1 − α(1 − 2e-x¹)(1 − 2e¯×²)]e*¹-x²,0 ≤ x₁,0 ≤ x₂-0,otherwisei) Find the marginal distribution of X₁.ii) Find E(X₁X₂).

Answered: Suppose that, for −1 ≤ a ≤ 1, the…

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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Suppose that, for −1 ≤ a ≤ 1, the probability density function of (X₁, X₂) is given by - f(x₁, x₂) = {[1 − α(1 − 2e-x¹)(1 − 2e¯×²)]e*¹-x² ,0 ≤ x₁,0 ≤ x₂- 0, otherwise i) Find the marginal distribution of X₁. ii) Find E(X₁X₂).