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…

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter13: Probability And Calculus

Section13.CR: Chapter 13 Review

Problem 29CR

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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).