*9. Consider the T, distribution: t2\ - 1+ VUTT (5) レ+ f(t;v) = Let y(x) denote the standard Gaussian density. Show that: lim f(x;v) = 4(x) レ→0

Q: The joint pdf of X and Y is given by fx,y(x,y) = {4x2   0<y<x<1}…

A: Sol:- To find the support of U, we first need to find the range of values that U can take

Q: otherwise (f) Calculate E(X). 1.3333 (g) Calculate V(X) and o V(X) (h) If the borrower is charged an…

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Q: Given the f(x) below determine the pdf of U where U = Y + 2 f(y) = 2y^2, for 0 < y ≤ 2 and zero…

A: We need to determine the pdf of U where U = Y + 2

Q: integrate f over the given curve f(x,y)= x3/y     , C: y=x2/2 ,    0<= x <= 5

A: NOTE: Refresh your page if you can't see any equations. . the given curve is  substitute x=t . the…

Q: So If fis continuous and f(x) dx = 20, evaluare let U = 3x f² f(3x) dx.

A:

Q: Let X and Y have the following joint probability density function: ficylx,y) = 1 / (x² y²), for-1,…

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Q: The joint pdf of X and Y is b) Determine fx|y=0.5(0.1) fx,y(x, y) = 3 0 0<x<2, 0<y<1 otherwise

A: Given that  Joint pdf of X and Y is  fX,Y(x,y) = (x+y)/3   , 0 &lt; x &lt; 2 , 0 &lt; y &lt; 1

Q: X~U(0,1)  and Y|X = x~U(x,1) a) what is joint pdf fX,Y(x,y)? b) what is marginal pdf fY(y)? c)…

A: Given, X~U(0,1)  and Y|X = x~U(x,1)

Q: Astroid: (0 s t s 2x) x = a cos3 t y = a sin3 t a ab 3 o 2ra2 O zab 2nab

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Q: X = Xo Give an example of a function f such that the derivative of Så fl+dt at does not equal f(xo).…

A: Step 1: Let's construct such a function. Consider the function: [f(x)=⎩⎪⎪⎨⎪⎪⎧​012​if x&lt;x0​if…

Q: 1. Find the density of Y = 1- e-ax when X ~ Exp(X). Note that the density of X is if r > 0, ,…

A:

Q: Let Q = Q(K, L, t), where K is capital, L is labor, and t is time. Both capital and labor as also…

A: Let the production function is                                     Q = Q (K , L , t)…

Q: Find the PDF M = X + Y when X and Y have the joint PDF: f_X,Y(x,y) = 2 for 0 <= x <=1, 0 <=y<=1 and…

A:

Q: A bounded, 3B > 0 such that |f(x)| < B Vx € (0, 1), continuous function on (0, 1) with unded…

A: We will find an example