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4. A real estate agent has the data on the housing prices (X₁, in millions of pesos), the number of bedrooms in the house (X₂), and the size of the house (X3, in thousands of square feet) of the 88 properties he sold. Suppose that X~N3 (μ, E), and the mean [1.5] vector and covariance matrix are μ = [1.3 2.1 4.01 and Σ = 2.1 5.0 2.3, respectively. 14.0 2.3 2.0] L2.4] Suppose that he is interested in 0.002X₂ + 0.123X3, determine the distribution of this linear combination.

4. A real estate agent has the data on the housing prices (X₁, in millions of pesos), the number of bedrooms in the house (X₂), and the size of the house (X3, in thousands of square feet) of the 88 properties he sold. Suppose that X~N3 (μ, E), and the mean [1.5] vector and covariance matrix are μ = [1.3 2.1 4.01 and Σ = 2.1 5.0 2.3, respectively. 14.0 2.3 2.0] L2.4] Suppose that he is interested in 0.002X₂ + 0.123X3, determine the distribution of this linear combination.

MATLAB: An Introduction with Applications
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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4. A real estate agent has the data on the housing prices (X₁, in millions of pesos), the number of bedrooms in the house (X₂), and the size of the house (X3, in thousands of square feet) of the 88 properties he sold. Suppose that X~N3(µ,Σ), and the mean [1.5] vector and covariance matrix are μ = [1.3 2.1 4.01 and Σ = |2.1 5.0 2.3, respectively. L4.0 2.3 2.0] 12.4 Suppose that he is interested in 0.002X₂ + 0.123X3, determine the distribution of this linear combination.
Transcribed Image Text:4. A real estate agent has the data on the housing prices (X₁, in millions of pesos), the number of bedrooms in the house (X₂), and the size of the house (X3, in thousands of square feet) of the 88 properties he sold. Suppose that X~N3(µ,Σ), and the mean [1.5] vector and covariance matrix are μ = [1.3 2.1 4.01 and Σ = |2.1 5.0 2.3, respectively. L4.0 2.3 2.0] 12.4 Suppose that he is interested in 0.002X₂ + 0.123X3, determine the distribution of this linear combination.
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