QUESTION 3a) Suppose that, for -1 ≤ a ≤ 1, the probability density function of (X₁, X₂) is given byf(x₁, x₂) = {11 - α(1 - 2e¯¹) (1 - 2e-*²)]e*¹-*₂,0 ≤ x₁,0 ≤ x₂.otherwisei) Find the marginal distribution of X₁.ii) Find E(X₁X₂).

Given the joint probability density function of X1,X2 as fx1,x2=1-α1-2e-x11-2e-x2ex1-x2 , 0≤x1 ,…

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

A First Course in Probability (10th Edition)

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ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

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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) = {11₁ - α(1 — 2e-x¹) (1 - 2e¯*²)]e*1-*² 0, ,0 ≤ x₁,0 ≤ x₂. otherwise i) Find the marginal distribution of X₁. ii) Find E(X₁X₂).

a) Suppose that, for -1 ≤ a ≤ 1, the probability density function of (X₁, X₂) is given by f(x₁, x₂) = {11₁ - α(1 — 2e-x¹) (1 - 2e¯²)]e1-*² 0, ,0 ≤ x₁,0 ≤ x₂. otherwise i) Find the marginal distribution of X₁. ii) Find E(X₁X₂).