Exercise 2: Let 0, and 02 be two independent unbiased estimators of 0 such that Var(01) = o? and Var(02) = 0. Define 03 %3D 10i + (1 – X)02: a. Show that 03 is an ubiased estimator of 0. b. Determine the value of A that minimizes Var(03).

Q: Giving f(0.23) = 0.362, f(0.53) = 0.143, f(0.86) = −1.143, please use inverse interpolating method…

A: Given that f0.23=0.362, f0.53=0.143, f0.86=-1.143. Using inverse interpolating method to get the…

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A:

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A: We have to solve the given problem by given data.

Q: Use incremental search with Δx = 0.2 to bracket the smallest positive zero in f(x) = x3 - 10x2 + 5.

A:

Q: A) To the nearest inch, estimate the height of the maple tree in 2011.  inches B) Use the equation…

A: y = 9.44x + 84.182

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A: Recall the linear estimation model: y

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A: we have to find variance for geometric distribution.

Q: I. Detemine what type of function are the following: 1. f(x) = 3x* + 1 2. f(x) = |10x + 7| r+4x+4…

A: Follow 2nd step.

Q: Compute using Lagrange Inerpolation f(-0.016) for the data (-1.5, - 14.1014), (-0.75, - 0.931596),…

A:

Q: If the parent function y = T is shifted 4 units to the left and 3 units down, the new function would…

A: If the parent function y=x is shifted 4 units to the left and 3 units down, then we have to form the…

Q: Suppose that Var(X) = 934.93, Var(Y) = 11297.02, and Cov(X,Y) = 2912.35. What is Var(.87X + .13Y)?

A: The given .The aim is to find the .The formula used .

Q: Suppose that f is a linear function such that f(7) = 1. If the slope of fis 3.3, then what is f(14)?…

A: Let the Linear function of the form f(x)=mx + c

Q: Suppose f is a linear function and that f (2)=7 and f (5)=7.1.  Then the slope of is postive   true…

A:

Q: Differ entiate he ff 4. Purdut Rule sluct ) f (x) = x³(3x+2).

A: Product rule of differentiation: If p(x) and q(x) are two functions of x, then…

Q: The Greer Tire company manufactures a new steel-belted radial tire to be sold through a national…

A: Solution: Let X be the miles that the tires last. From the given information, X follows normal…

Q: Linearize f(x) = (x2 - 3x + 3)2.1 near x = 3. %3D

A: Consider the function  f(x)=x2−3x+32.1

Q: (1 point) Let f(z) = r² – 6x and g(x) = x-6. Evaluate the following: %3D %3D 1. (fo g)(z)= 2. (go…

A: Consider the functions f(x) = x2 - 6x and g(x) = x - 6 If f(x) and g(x) are the two functions then…

Q: Your last pdf for this week is f(2)=z³ for 2 < z ≤ 3. (a) Find the cdf of Z. You don't have to give…

A: f(z)=4/64z3 ; 2&lt;Z≤3

Q: What values of a and b, with a < b, minimize the value of (x* – 2r?) dr?

A: The given integral is ∫abx4-2x2 dx. Draw the graph of the function y=x4-2x2 as shown below. .

Q: (6) (x)어

A: we have been given f4(x)=(x2+1)2 we have to find the value of f6(x).

Q: Let f(x) = 6x +9 %3D f "(x) = |_

A: To find the inverse of a function  First replace fx with y. Replace every x with a y and every y…

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Q: where is the graphical estimation method (by hand)

A: Here we will draw the graph of ,h^3-9h^2+315/11=0 I.e. x^3-9x^2+315/11=0