A die is rolled twice. Let X₁ be the first number and X2 the second number. Compute Cov(X₁ + 2X2, 2X₁ - X2).

Q: Suppose Cov(X,Y) = 231. What is Cov(8.6X, 3.4Y)?

A: The objective of this question is to find the covariance of the two variables 8.6X and 3.4Y given…

Q: let v = (1, 3, −2) and w = (2, −1, 4). Compute v × w.

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Q: = Let -3 -1 -~--~--~--~--~- , V3 -5 1 , V₂ 2 0 combination of V₁, V2 and V3. 5 -26 , V4 -9 -1 -3…

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Q: Verify that (AB)T = BTAT.

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Q: Let u = , v = , and w = . find uw

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Q: (1) Cov(B1, yı) (2) Cov(Bo, Y1) (3) Cov(Bo, j)

A: Let Y = β0+β1X+εi be a linear regression model with the distribution where β0 = Y-β1X¯  and β1 =…

Q: Solve for u. u/2 + 3u/4 = u/8

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Q: Suppose u=⟨−4,4,−2⟩ and v=⟨4,−2,3⟩. Then u×v=   v×u=

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Q: 1= z In zdz

A: Given, ∫ xlnxdx

Q: Calculate v × w, where v = (−2, 1, 4) and w = (3, 2, 5).

A: Given: v = (−2, 1, 4) and w = (3, 2, 5)

Q: c. fxV9-xdx

A: To find ∫01x9-xMethod we use substitution method

Q: Express w as a linear combination of u and v. 4 --}-}--[:] W = 6 u 3 2 6 6

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Q: cov (A)=0 2. Show that co

A: Show that cov(β^1, u-)=0