~ let Q/ Let X ≈ N(μ₂0²). 16 Y = 2X + b₂ b=0, then distribution of Y is 1) N(μ,bo²) 2) N(2µ+b,40²) 3) N(2μ,40²)

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Q: Let A = Av = ( 4(Av) = ( -3 4 3 21.₁ ‚ v = (x, y).

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Q: Suppose that \bmy = (y1, Y2, Y3)' is N3(\bmµ, \bmE) where 1 0 0 o |0 1 0 \bmµ = | 2 ,\bmE = 0 0 1…

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Q: 5. Let X follow uniform distribution over (0, 1). Define Y = In(₁). Then i) E(Y²) = ii) P(Y > E(Y))…

A: X~U(0,1)

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Q: Find the mar gin al distribution of X. Find the margin al distribution of Y. Are X and Y…

A: For the independence of two variable X and Y, we must have f(x, y) = f(x).f(y)

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A: Solution: Consider  X~N( μ1, σ12) The MGF of X is  MX(t)=eμ1t+12t2σ12 Y~N(μ2, σ22) The MGF of Y is…

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A: Given To find Derivative of y= ln(xex)

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Q: u'+ y enx =0 differantial equartion find the %3D pardiculbr general soution. and

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Q: Let Y be a random variable with pdf giyen by

A: Given that fy=30y21-y2, 0&lt;y&lt;1 Formula for Ey4 is, Ey4=∫01y4fydy

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Q: Let X1,...Xn be iid Normal(θ + c, σ^2), where c and σ^2 are known constants (i.e., E(Xi) = θ + c).…

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Q: By using trapozidle rule\( S_0^3/(1+x^4 ) dx :D (n=6) is :Select one a. 10.194 b. 9.194 c. 11.194 d.…

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Q: (14) Approximate S, x² ex², Using Simpson's rule dp,

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Q: Which of f (x) = x sin2 x and g(x) = x2 sin2 x has a larger average value over [0, 1]? Over [1, 2]?

A: