J2 (21, 1₂) = 1₁ 1₂-4711²2 Consider o matrid of two Gaussian distributions as follows P(x₁, x₂) = 0.3 N ( [²2₂], [ 2² 3] +0.7 N ([3] [203 001] 2 1 Tos 1 Los 0) What is the marginal distribution of X₁. b.) What is the marginal distribution of X₂. Ⓒ Compute ECX, )and E(X₂) ob₂) Compute V(x₁) and V(X₂), the variances of K, anddiz.

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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J1(1, 2) = log (₁) exp(-1₂) + sin(7₁) sec(1₂)
f2(11, 12) = 12 - 4x102
7, Consider o matrid of two Gaussian distributions as follows
p(X₁₁ X₂) = 0.3 N ( [²2₂]₁ [ 02 1 ]+0.7 N ( [0] [005 001.
01) What is the marginal distribution of X..
b.) What is the marginal distribution of X₂.
Ⓒ Compute ECX, ) and E(X₂)
ol.) (ompute V(X₁) and V(X₂), the variances of Kianditz.
510
6. 7/ 8
7
Transcribed Image Text:J1(1, 2) = log (₁) exp(-1₂) + sin(7₁) sec(1₂) f2(11, 12) = 12 - 4x102 7, Consider o matrid of two Gaussian distributions as follows p(X₁₁ X₂) = 0.3 N ( [²2₂]₁ [ 02 1 ]+0.7 N ( [0] [005 001. 01) What is the marginal distribution of X.. b.) What is the marginal distribution of X₂. Ⓒ Compute ECX, ) and E(X₂) ol.) (ompute V(X₁) and V(X₂), the variances of Kianditz. 510 6. 7/ 8 7
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