1. If X and Y have joint density f(r, y) = ye -1(0< 1

Q: メ~U(-4,8) 8-18-2(x-u nd the density of Y b) x Ý~ U (0,1) inde penden %3D

A: Hello! As you have posted 2 different questions, we are answering the first question. In case you…

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A: Given: Cube of side length a cm, and density function of cube  is δx,y,z=b+xyz gm/cm3 where one…

Q: Find Mx, My, and (x, y) for the lamina of uniform density p bounded by the graphs of the equations.…

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Q: Let X and Y have joint density f(x,y) = { 8(x + y²), 0≤x≤ 1,0 ≤ y ≤1 0, otherwise. Determine the…

A: We have to find  for the joint density function

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Q: 1 2. Find the mass of the lamina bounded by the graphs of y = T2¹ the density function is p(x, y) =…

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Q: Let Y have the density f(y) T(a+B) ya-1 T(a)r(8) (1+y)ª+ß" y > 0, determine E(Y) and E(Y²).

A: Given  Y~Beta 2nd kind(ɑ,β)

Q: The joint density of X and Y is given by f(x.y) = {3 SEx(2 – x – y) 0<x < 1,0 < y < 1 otherwise…

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Q: The joint density of X and Y is (y² – a2) f(r, y) : 8. for 0 < y < o and -y <r <y. Show that E[X | Y…

A: Solution

Q: Let X and Y have the joint density function 1 f(x, y): x > 1, y > 1. Let U = XY and V = 3X/Y. (a)…

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Q: Find the center of mass of the thin plate bounded by the y-axis and the lines y =x and y = 2 - x…

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Q: Find Mx, My, and (x, y) for the lamina of uniform density p bounded by the graphs of the equations.…

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Q: In Exercise 5.18, Y₁ and Y₂ denoted the lengths of life, in hundreds of hours, for components of…

A: The joint probability density function of  and  is given as:It is given that the random variables…

Q: In a recent study, the Centers for Disease Control and Prevention reported that the diastolic blood…

A: μ=80.5,σ=9.9

Q: 6)- Let x and y have the joint density f (x, y) = {* + cy if 1< x< 2; 0 < ys1 %3D elsewhere where c…

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A: Given that We have to a.find the marginal density of X b .. and the marginal density of Y

Q: Let f(x,y) = x + y be the density of a distribution of a mass over a triangular region Rwith…

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Q: 1. Hand in: Let f(x, y) = 6y(1 – y), function. Find E(X|Y = y) 0 <x<y<1 and zero eswhere be a valid…

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Q: If f (x) = c (9 – x²) for 0 < x < 3 is a density then c is equal to

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Q: 0, x4. then P(2<X <4) is equal to

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

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A: Given, the joint density of Y1 and Y2 is

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