Q 6.2. Let X = (X₁, X2, X3)¹ ~ MVN (ux, Ex) where -3 7²) μχ = Compute the distribution of Y and Ex = (a) Compute the moment generating function Mx (t) of X. (b) Compute E(X₁X₂). (c) Let Y₁ Y₂ Y3 = = = 6 -2 -2 - 3X2 X3 + 1 X₁ X₂ X3 X₁ + 2X₂ - 2. (Y₁, Y₂, Y₂)T. -2 -2 2 1 1 1 -

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Q: 4. Evaluate using Beta Function: B (6,5) a. b. {B}}})

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Q: 7 x + 2 Let f(x) = x4 . x + 5 f'(x) = %3D

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Q: y = 5** +(3–x²)

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Q: Let F(x) f(f(x)) and G(x) = (F(x))² and suppose that f(3) = 2, f(2) = 2, f'(2) = 2, f'(3) = 14 Find…

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Q: Find the moment generating function of x - f(x) = 1, where 0 < x < 1 Select one: O a. e' 1 t b. Od.…

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Q: Let p(x) = x³ - 17x² + 11x + 76. Compute p '(x) and use it to find all values of x for which p '(x)…

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Q: Let f(x) = In[x4(x +9)6(x2 + 4)3]. Find f'(x). f'(x) =

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Q: Let f (x) = x² 2 - 8 Find and simplify f'(x) and f" (x). + B where f'(x) = A = B = C = %3D Dx2 + E…

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Q: Find a critical number of f when f'(x) = 2x³ + x² – 3x. (a.) x = NIW 2 (b.) x = 1 (c.) x = -1 (d.) x…

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Q: Approximate f' (2) using the given data f(0) = -8, f(1) = -7, f(2) = 0, and f(3) = 19 and the…

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Q: 1) Find the average value of the function f(x) = 3-4x + 5x² over the interval [-1, 3].

A: The function is given by fx = 3-4x+5x2 To determine: The average value of the function over interval…

Q: A dilation T sends A = (2,3) to A’ = (5,4), and it sends B = (3,−1) to B’ = (7,−4). Where does it…

A: We have, A dilation T sends A = (2,3) to A’ = (5,4) and it sends B = (3,−1) to B’ = (7,−4) Where…

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Q: Find the sum H=p+q+rand calculate average value of the function f(x),

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A: The (100p)th percentile is denoted as η(p) and defined as follows:

Q: Let f(x) = In(x² – 14x + 52) f'(x) =

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Q: Find (f1)'(3) given the following table of values. f(z) f'(z) 3 1

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Q: 3/(a) Let X × b(n, –) and E(x)= E(16–7x) find n.

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Q: Suppose X has PDF fX (x) = 4x(1 − x^2) for 0 &lt; x &lt; 1 (0 everywhere else). Find all mediansand…

A: Step 1:(a) Finding all medians of X:The median m of a continuous random variable X is the value that…