Suppose that X has density function f(x) = { 1 0 < x <1 0 otherwise Compute E[X"] (a) by computing the density of X"
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![Suppose that X has density function
f(x) =
{
1 0 < x <1
0 otherwise
Compute E[X"] (a) by computing the density of X"](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0e75e589-7ae5-414c-a05d-259adffb5f58%2Ff8eb3085-b193-4a84-b094-a18c10b82f98%2F6pqicxo_processed.png&w=3840&q=75)
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- Show that the set of vectors V {[1 0], [0 1]} is a linearly independent set of vectorsUse the simplex method to maximize the given function. Assume all variables are nonnegative.Maximize f = 7x + 8y subject to x + 2y ≤ 10 x + y ≤ 7 (x,y)= f=Use the simplex method to maximize the given function. Assume all variables are nonnegative. Maximize f = 20x + 12y + 12z subject to the following. x + z ≤ 45 x + y ≤ 30 y + z ≤ 45 (x,y,z)= f=
- TRUE OR FALSE In Simplex Method, the pivot element should be changed to 1 in the formulation of the next table.Write a program that asks the user for an angle, entered in degrees. The program should then display the sine, cosine, and tangent of the angle. (Use the sin, cos, and tan library functions to determine these values.) You must convert the angle into radians (angle * 3.14/180)Consider the problem of calculating the median m of the following numbers: 4,5,9. (a) Write down the linear program that you could solve, to find the median m. Then put this LP in the form: min c^T x s.t. Ax ≥ b, x ≥ 0, where x is your list of variables. (b) Now write down the dual of the problem above. Call the list of dual variables y. (Hint: there are 6 components of y.)
- Minimize Z= x1+2x2-3x3-2x4 subject to: x1+2x2-3x3+x4=4 x1+2x2+x3+2x4=4 x1, x2, x3,x4 are equal or greater then zeroIn the figure below, no probabilities are known for the occurrence of the nature states. For the matrix, solve every one of the subpoints with the respective formulas: Laplace Maximin(Minimax) Savage Hurwitz (assume that α=0.3)Can the function f (x) = - x2 + 3x +2 be maximized?
- Solve the given standard minimization problem using duality. (You may already have seen some of these in earlier sections, but now you will be solving them using a different method.) HINT [See Example 1.] Minimize c = s + 2t subject to 4s + t ≥ 210 2s + t ≥ 160 s + 3t ≥ 315 s ≥ 0, t ≥ 0. c= (s, t) =M is any large numberShow that if ˆ is an unbiased estimator of θ andvar()ˆ Z 0, then ˆ 2 is not an unbiased estimator of θ 2.