Suppose that T(X) is sufficient for 0 and that ^e(X) is an MLE of 0. Show that ^0 depends on X through T(X) only provided that ^0 is unique.

Q: It is known that the function f(x) = x-1 and g(x) = 1/x (where x is not equal to 0). Define the…

A: The detailed solution is given below Thank you

Q: Let f(x) = 6 + V4x – 5. Find f-'(x). f- (x) = for x > 6

A: Given f(x)=6+4x-5 The objective is to find f-1(x).

Q: f(x) = xe (1+e*)

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Q: 1/2x (In2) In x (use L'hopital's Rule)

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Q: Suppose that f(x) =1.5x^2 for -1<x<1. Determine P(-0.5<x<0.5) round off in 3 decimal places.…

A: We have given that,  Let X be the Random variable having probability density function is,  f(x)…

Q: If f(x) = x(2^x), then f'(x) is equal to: %3D O 2^x (In 2+ 1) O 2^x (2 In 2 + x) 2^x (x In 2 + 1) O…

A: The given function is f(x)=x2x

Q: f(x) = e^-1/x^2 show that there is no positive number M such that each natural no n, |f^n(x)|&lt;…

A: We need to prove that there is no positive number M such that each natural number n,

Q: What type of discontinuity is in the function f(x) = x-4/(x)^1/2 -(2)? Where is this discontinuty…

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Q: Find A^ if A :

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Q: Prove that the following function is continuous on the interval [-5,5]: H(x)= the square root of…

A: Given, H(x)=25-x2we have to prove that the given function is continous on the interval[-5,5]…

Q: If you need to prove that a ∈ f^−1 (Y ), what do you need to show?

A: Here we need to show the way to prove a∈f-1(Y)

Q: What is the minimum value of function y=(x^3) mod 2?

A: We have to find  the minimum value of function y=(x^3) mod 2.We are going to analyze the function y…

Q: What is the minimum value of function y=(x^2) mod 2?

A: The given function is .The aim is to find the minimum value of the function.

Q: The residue of f(z)=1/(z+1)^3

A: f(z)=1(z+1)3

Q: E (3x(9 ^ b) V Jaæ(p ^ 0)) = 3x(p A (4 V 0))

A: To prove ⊢(∃x(φ∧ψ)∨∃x(φ∧θ))≡∃x(φ∧(ψ∨θ)) Here we have to use existential quantifiers i.e. notation of…

Q: Suppose that a function h satisfies −x^2 ≤ h(x) ≤ x^2 for all x. Prove that h is differentiable at x…

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Q: In the fucntion:  f(x)= (12-3x)(e^x)  When is the function concave up and concave down in interval…

A: Given,f(x)= (12-3x)(e^x) By definition,

Q: Evaluate x' V1+x? xp=

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Q: Suppose f and g are differentiable functions on R such that, (x²+1)f (x) + 3xf(x) = e*2 + 7x and…

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Q: Let f(x) = e^x Find the polynomial H3(x) of degree at most 3 such that H3(1) = f(1), H3(2) = f(2),…

A: Given: Consider the given f(x) = ex .Using a (generalized) divided-difference table, find the…