EST 581 Assignment 5 Solutions.docx

# EST 581 Assignment 5 Solutions.docx - EST 581 Heuristics...

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EST 581. Heuristics and Quantitative Decision Making ASSIGNMENT 5: PROBABILITY AND EMV Solutions Chapter 5, Question 6 a) p (all three machines out of action) = p (machine A out of action) x p (machine B out of action) x p (machine C out of action) = 0.10 x 0.05 x 0.20 = 0.001 b) p (none of the machines out of action) p (machine A not out of action) x p (machine B not out of action) x p (machine C not out of action) = 0.90 x 0.95 x 0.80 = 0.684 Chapter 5, Question 11 a) Number of requests received 0 1 2 3 4 5 Probability 0.01 0.12 0.25 0.42 0.12 0.08 Number of requests received Probability Number of requests received x probability 0 0.01 0 1 0.12 0.12 2 0.25 0.50 3 0.42 1.26 4 0.12 0.48 5 0.08 0.40 Expected number of requests 2.76 b)

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• Fall '08
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