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Unformatted text preview: are of the same length). The 2n parts are arranged into n pairs at random from which new sticks are formed. a) Find the probability that the parts will be joined in the original order. b) Find the probability that that all long parts are paired with short parts. Hint: label the 2n pieces L 1 ,…,L n and S 1 ,…,S n . You may start with L 1 (without loss of generality) and see what its probability of being paired appropriately. Then take any part not assigned and see what its probability of being paired appropriately assuming that L 1 is paired appropriately, and so on. When cells are exposed to harmful radiation, some chromosomes break and play the role of our sticks. The “long” side is the one containing the so-called centromere. If two “long” or “two” short parts unite the cell dies....
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This note was uploaded on 04/17/2008 for the course STAT 430 taught by Professor Krieger during the Spring '08 term at UPenn.
- Spring '08