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# hw1 - fdfd

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EAS 305–Homework 1 (Due on Sep 14, 2011 at the beginning of the class) 1. Describe the sample space for each of the following experiments. (a) A lot of 130 battery lids for pacemaker cells is known to contain more than 10 defectives because of a problem with the barrier material applied to the glassed-in feed-through. Four lids are randomly selected (without replacement) and are carefully inspected fol- lowing a cut down. (b) A pallet of 12 castings is known to contain two defective and ten good units. Three castings are randomly selected (without replacement) and inspected. 2. Consider a universal set consisting of the integers 1 through 9, or U = { 1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , 9 } . Let A = { 1 , 2 , 3 , 4 , 7 } , B = { 2 , 6 } and C = { 2 , 7 } . By enumeration, list the membership of the following sets. (a) A B . (b) A B . (c) A B . (d) A ( B C ) . (e) A ( B C ) . 3. A state has 10 million registered vehicles and is considering using license plates with 5 sym- bols where the first 2 are letters and the last 3 are digits. Is this scheme feasible? And why?

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hw1 - fdfd

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