Calculate the weighted average and uncertainty of X1-12 ± 4, x2 = 11.7 ± 2.2, x3-12.9...
Consider the independent random variables X1, X2, and X3 with - E(X1)=1, Var(X1)=4 - E(X2)=2, SD(X2)=3 - E(X3)=−1, SD(X3)=5 (a) Calculate E(5X1+2). (b) Calculate E(3X1−2X2+X3). (c) Calculate Var(5X1−2X2).
Given the LPP: Max z=-2x1+x2-x3 St: x1+x2+x3<=6 -x1+2x2<=4 x1,x2<=0 What is the new optimal, if any, when the a) RHS is replaced by [3 4] b) Column a2 is changed from[1 2] to [2 5] c) Column a1 is changed from[1 -1] to [0 -1] d) First constraint is changed to x2-x3<=6 ? e) New activity x6>=0 having c6=1 and a6=[-1 2] is introduced ?
12. Let X1,... , X5 be random variables with variance 4, and let Find Var(X1 X2+X3 + X4 +X5);
Maximize Z 34 X1 43 X2 29 X3 Subject to: 5 X1 + 4 X2+ 7 X3 s50 1X1+2X2+2X3s16 3 X14 X2+1 X3 s 9 all Xi are integer and non-negative Use Excel QM. If one uses the optimal solution presented, how much slack is there in the first constraint equation? 03
3. Description of each X and data for 27 franchise stores are given below The data (X1, X2, X3, X4, X5, X6) are for each franchise store. X1 annual net sales/$1000 X2 number sq. ft/1000 X3 - inventory I$1000 X4- amount spent on advertising /$1000 X5 size of sales district/1000 families X6 number of competing stores in distric X1 X2 X3 X4 X5 X6 231 3 294 8.2 8.2 11 156 2.2 232 6.9 4.1 12 10 0.5 149 3...
The matrix is the reduced echelon matrix for a system with variables x1, x2, x3, and x4. Find the solution set of the system. (If the system has infinitely many solutions, express your answer in terms of k, where x1 = x1(k), x2 = x2(k), x3 = x3(k),and x4 = k. If the system is inconsistent, enter INCONSISTENT.) 1 0 0 0 | −5 0 1 0 0 | 3 0 0 1 0 | −5 0 0 0 1...
DATA 2 ID X1 X2 X3 Y A 0 2 4 9 B 1 0 8 10 C 0 1 0 5 D 1 1 0 1 E 0 0 8 10 CORRELATION MATRIX Y X1 X2 X3 Y 1 ? -0.304 +0.889 X1 ? 1 -0.327 0 X2 -0.304 -0.327 1 -0.598 X3 +0.889 0 -0.598 1 1. What is the mean squared error of the full model? (Correct answer is 4, please show me how to get there)...
3) Let (x, y), (X2, y2), and (X3. Y3) be three points in R2 with X1 < x2 < X3. Suppose that y = ax + by + c is a parabola passing through the three points (x1, yı), (x2, y), and (x3, Y3). We have that a, b, and c must satisfy i = ax + bx + C V2 = ax + bx2 + c y3 = ax} + bx3 + c Let D = x X2 1....
21. Bryan consumes only goods 1, 2, and 3 (in quantities x1,x2, and x3 respectively) and as preferences over (x1,x2,x3) bundles that are captured by the utility function ug(x1,x2, x3) $2 $6 and I $4 P, = иnit P3 When prices $120, Bryan chose to purchase the were = unit' unit bundle (10, 10,10). How much good 2 will Bryan choose to purchase at prices $4 $8 $12 $240? (Assume Bryan makes purchases so as to , Р2 unit ,...
[E] Consider the linear transformation T: R3 → R3 given by: T(X1, X2, X3) = (x1 + 2xz, 3x1 + x2 + 4x3, 5x1 + x2 + 8x3) (E.1) Write down the standard matrix for the transformation; i.e. [T]. (E.2) Obtain bases for the kernel of T and for the range of T. (E.3) Fill in the blanks below with the appropriate number. The rank of T = The nullity of T = (E.4) Is T invertible? Justify your response....