OR312_Final_2008_solutions - ORIE 312 Final Exam Solutions...

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Unformatted text preview: ORIE 312 Final Exam Solutions Spring 2008 Professors Peter Jackson and David Ruppert 1. (a) P (defective | X = 10 . 5) = h 1 + exp { 25- 1 . 5 * 10 . 5- . 6 / 10 . 5 } i- 1 = { 1 + exp(9 . 19) }- 1 (b) Need to find x to minimize H ( x ) := + 1 x + 2 x- 1 , so solve 0 = H ( x ) = 1- 2 /x 2 so that x = s 2 1 = q . 6 / 1 . 5 = . 4 2. (a) 10.028 + 0.081 (b) reference cell constraint. The model is y ij = + i + ij and the constraint is 1 = 0 (c) b = 5 * 10 . 02 + 0 . 081 + 3 . 03 + 0 . 198 + 0 . 576 5 b 1 = 10 . 02- b b 5 = (0 . 577 + 10 . 02)- b 3. (a) 1 . 279 2 + 0 . 165 2 (b) 1 . 279 2 1 . 279 2 + 0 . 165 2 4. (a) d ( ) 2 , 1 = 0 (b) b 11 = 25 b 12 = 25- 4 (minimum) b 21 = 25 + 2 b 22 = 25- 4 + 2 + 1 . 5 Use A=1 and B=2 (c) b 1 =- (25 + 2)- (25- 4 + 2 + 1 . 5) + (25) + (25- 4) 4 =- 5 . 5 4 5. (A) (5) (B) (3) (C) (4) (D) (2) (E) (6) (F) (1) 1 6. (a) A (b) AB and BC (c) The first boxplot tells us to use A=1 and B=2. The second boxplot tells us to use(c) The first boxplot tells us to use A=1 and B=2....
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OR312_Final_2008_solutions - ORIE 312 Final Exam Solutions...

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