# assign2 - SYSC4005/5001 Simulation of Discrete Event...

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SYSC4005/5001 Simulation of Discrete Event Systems Homework Assignment 2 DUE: February 19 2010 NOTE: Only problems 1-6 will be graded. Solutions for all problems will be provided. 1. Find the probability that the sum of two random positive numbers each of which does not exceed one, will not exceed one and that their product will be at most 2 9 . 2. Ten helicopters are assigned to search for a lost plane. Each of the he- licopters can be used in one of two possible regions where the airplane might be with probabilities 0.8 and 0.2. How should one distribute the helicopters so that the probability of ﬁnding the airplane is maximized? We assume that each helicopter can ﬁnd the lost plane within its re- gion of search with a probability of 0.2 and each helicopter searches independently. Determine the probability of ﬁnding the plane under optimal search conditions. 3. There are two lots of items. It is known that all items of one lot satisfy certain technical standards and 1 4 of the items of the other lot are

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## This note was uploaded on 04/16/2010 for the course SCE sysc5001 taught by Professor Lambadaris during the Winter '10 term at Carleton CA.

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assign2 - SYSC4005/5001 Simulation of Discrete Event...

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