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.
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6th Edition
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Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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Question
![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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F218704da-e3e2-463b-ac6e-83a29d7fe200%2F584d0a2c-3cf3-434f-a58e-1729461141aa%2Fsm5va88_processed.jpeg&w=3840&q=75)
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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