If the joint density of X1 and X2 is given by 3. X1 (x2- X1) for 0

Q: Explain the difference between the two formulas

A: Given : Z= X-μσ  Z=X -μσn We need to tell the difference between the two formulas.

Q: Is f(x)= Vx + 1 continuous at x == -1

A: Draw the graph and check continuty with help of limit of function.

Q: Let X~s f(x;8) where f(x; 8) = - exp{-|x – 0|}I(-o,0)(x), 0 E R. Find the MLE of 8 %3D

A: We have given that  X follows f(x, theta)    We have to find the maximum likelihood estimator of…

Q: Find f. f "(x) = x-2, x > 0, f(1) = 0, F(3) = 0 %3D %3D In (1) |-In(\x|) + In(1)x + f(x)

A: Given f"(x) = x-2     ,   x>0   f(1) =0   , f(3)=0

Q: 7 F Cx) = X tên?x 2\ %3D 2. X+ f'x)= %3D

A:

Q: Differentiate the function. y = In(16 + t – P) %3D y' = 1– 3r² 372 6 +t-t -- 6 + t- r 2 6+t-t

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Q: The Domain of f (x) = V1 – x is 1. [-1, 0) 2. (-∞, 1] 3. (-0, 1) 4. [1, c0)

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Q: 3. Let X be the amount of an insurance claim which has following pdf: Kx2(2-x), 0<x <3 0 <x f(x) =-…

A: It is given that, x be the amount of claim with pdf fx = Kx2 2-x,0&lt;x&lt;30,elsewhere

Q: Suppose that a continuous function g satisfies: g(x)dr = 30 and g(2x)dx = 3. 0. 2 Find r9(3x²)dx.

A: Suppose that a continuous function g satisfies: ∫03gxdx=30 and ∫06g2xdx=3. The, we have to find the…

Q: What is the minimum value of y = 3 + cos 2x?

A: Please go through the attached solution. I hope that this solution will help you. Thankyou . Best…

Q: Prove this equation by deriving F(x, t) =X(x) Y(y). Please show full steps OF OF 2. +2x- =D0 Ditebak…

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Q: Integrate f(x) from x = 0 to 10 using Three-Point Gauss-Legendre Quadrature. f(x) = 5000+24563x -…

A: Given f(x)=5000+24563x-7418x2+768x3-31x4+0.14x5 Let I=∫010f(x)dx Here a=0 and b=10

Q: Sa cos(r) dr = ,2 %3D 1 sin(r³) +c cos(r³) + c -1 - sin(r*) + c 3 cos(r³) + c 3 1/3

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Q: for If f (2) is a regular function of z, prove that f (2) 2 = 4 | f'(2) 1?. %3D ve I f12) 1? =4 |…

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Q: Let f(x) = {x²ca-1), Sx²e2cx-1), lacos(2x - 2) + bx? x>1 f(x) will be differentiable at x = 1, if…

A: We have to solve given problem:

Q: (3) Determine the values of a for which x4 + y* , if(x, y) # (0, 0), (x² + y?)ª f(x, y) = ,if(x, y)…

A: solution.

Q: 1-ス 17+4 キ文T AND FIMD

A: Given that:x=t+t-1 and y=t2+t-2

Q: Let's assume that f(x) = x² + c* x c=1 g(x, a) = a* x² + a*x Find a such that the following error is…

A: We have to find  such that the error  is minimum

Q: Determine the NATURAL cubic spline S(x) that interpolates the data f(1) = 1, ƒ(2) = 1, and f(3) = 0.

A: