Prove the following relation for ARMA(2,1)
6. Consider the weighted voting system [23:8,9,15,8]. Find the Banzhaf power distribution of this weighted voting system. (P1P2,P3) (P1,P2,P4) P1,P3,P4) P2 P3P4) (P1,P2,P3,P4) P1.P2) P1P3) Player Times critical Power index P2.P3) (P2 P4) (P3,P4) P3 7. Cindy, Jamal, Monique, and Ryan are dividing a piece of land using the lone-divider method. The values of the four pieces of land in the eyes of the each player are: Piece 1 35% 20% 25% 15% Piece 2 15% 40% 25% 25% Piece...
4. Determine whether the polynomials Pi = 1 + x, P2 = 1 + x2, P3 = x + 2 are linearly independent or linearly dipendent in P3.
Consider the ARMA(2,1) model 2+ = 0.624-1 -0.092-2 + at – 0.204-1, a4~WN(0,1) Find the AR representation of {Z}.
3 3 Player Games Suppose there are 3 players, PI, P2 and P3, with feasible strategies S = {U,D), S2 L, R, S3 - {A, B). The payoffs are summarized in the following payoff matrices: Table 3: Payoff Matrices P3 P3 plays A P2 P3 plays B P2 U|3,3,8 1,2,-2 D 0,9,6 -4,13 , -2 ,1 U 11,-1,2 9,5,12 DI 0,1,4 3,-1 , 3 P1 where in an cell the payoff x , y , z corresponds to P1, P2...
vi) Consider the following polynomials in the vector space of polynomials of degree 3 or less, P3. Pi(x) 12 +3r2 +a3 P2(x) 132 Pa(r) 1242 P4(z) = 1-r + 3r2 + 2r3 Which of the following statements are true and which are false? Explain your answer. a) The set {Pi, P2,P3} is a basis for P3. b) The set {Pi,P2, p3,P4,P5} İs a linearly independent set in P3.
vi) Consider the following polynomials in the vector space of polynomials of...
1. Find the perimeter of the quadrilateral with vertices at Pi (0,0), P2 (3, 4), P3 (3, 5), and P4 (0,5).
(10 points) Explain what is wrong with the following discussion: Let pi(t) = 1, p2(t) = t, and p3(t) = 2 + t2. Note that p3(t) = 2p1(t) + tpz(t). Therefore ps belongs to Span{p1.p2}.
Consider three different processors Pi, P2, and P3 executing the same instruction set with the clock rates and CPIS given in the following table 1. Clock Rate Processor CPI 3.4 GHz 1.2 P2 Рэ 2.6 GHz 1.0 2.2 4 GHz Which processor has the highest performance expressed in instructions per second? If the processors each execute a program in 15 seconds, find the number of cycles and the mumber of instructions We are trying to reduce the time by 30%...
Answer Question #12. Question #11 is only for reference
11. Let po, pi, and p2 be the orthogonal polynomials described in Example 5, where the inner product on P4 is given by evaluation at -2, -1, 0, 1, and 2. Find the orthogonal projection of tonto Span {po, pi, p2). 12. Find a polynomial p3 such that {po, p1, p2.p3} (see Exercise 11) is an orthogonal basis for the subspace P3 of P4. Scale the polynomial p3 so that its...
T А 1 Price, Cost P4 a P3 P2 B Pi Quantity 0 Q1 Q2 If a positive externality exists then the socially optimal price is OP2 OP3 Op4 OP1