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

Answered: a) Suppose that, for -1 ≤ a ≤ 1, the…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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a) Suppose that, for -1 ≤ a ≤ 1, the probability density function of (X₁, X₂) is given by f(x₁, x₂) = {1, ([1-a(1-2e¹)(1-2e-*²)]*¹*2 ,0≤x₁,0 ≤ x₂. otherwise i) Find the marginal distribution of X₁. ii) Find E(X,X₂).

a) Suppose that, for -1 ≤ a ≤ 1, the probability density function of (X₁, X₂) is given by f(x₁, x₂) = {1, ([1-a(1-2e¹)(1-2e-²)]¹*2 ,0≤x₁,0 ≤ x₂. otherwise i) Find the marginal distribution of X₁. ii) Find E(X,X₂).