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hw1vqnsolution - Vinh Nguyen Stat 120A (Fall 2007): HW 1...

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Unformatted text preview: Vinh Nguyen Stat 120A (Fall 2007): HW 1 Solutions October 3, 2007 Text: Probabilty and Statistics , by Degroot and Schervish (3 rd ed) Problems: 1.4.6, 1.5.3, 1.5.11, 1.6.2, 1.6.7 1.4.6 We will be drawing a card from a deck of 20 cards, with 10 blue cards labeled 1 to 10 and 10 red cards labeled 1 to 10. A = the event an even card is selected B = the event a blue card is selected C = the event that a card with number less than 5 is selected The sample space consists of 20 cards: 10 blue cards numbered 1 to 10 and 10 red cards numbered 1 to 10. We could express this in set notation as S = { B 1 ,B 2 ,...,B 10 ,R 1 ,R 2 ,...,R 10 } where B and R denote blue and red, respectively. We could also write A = { B 2 ,B 4 ,B 6 ,B 8 ,B 10 ,R 2 ,R 4 ,R 6 ,R 8 ,R 10 } B = { B 1 ,B 2 ,...,B 10 } C = { R 1 ,R 2 ,R 3 ,R 4 ,B 1 ,B 2 ,B 3 ,B 4 } (a) ABC : the event that we draw an even card that is blue and is less than 5, { B 2 ,B 4 } (b) BC c : the event that we do not get a card less than 5 and the card is blue,...
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This note was uploaded on 01/21/2010 for the course STATS 37850 taught by Professor Phelan during the Spring '09 term at UC Irvine.

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hw1vqnsolution - Vinh Nguyen Stat 120A (Fall 2007): HW 1...

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