Ex2 - THE UNIVERSITY OF HONG KONG DEPARTMENT OF STATISTICS...

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THE UNIVERSITY OF HONG KONG DEPARTMENT OF STATISTICS AND ACTUARIAL SCIENCE STAT 1306 INTRODUCTORY STATISTICS Sem 1 2008 / 2009 EXAMPLE CLASS 2 1. A box contains 6 white and 4 black marbles. Five marbles are selected at random. What is the probability that three are white and two are black? 2. At a shoe factory, it is known from past experience that the probability that a worker who has attended the factory’s training program will meet the production quota is 0.82 and the corresponding probability is 0.53 for a worker who has not attended the factory’s training program. If 60% of the workers attend the factory’s training program, what is the probability that a worker who meets the production quota will have attended the training program? 1

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3. Police records in a certain city show that 70% of all homicides are committed by acquaintances of the victim (and the remaining 30% by strangers). Murders by acquaintances are done with guns in 40% of cases, with knives or fists in 50% of the cases, and by chemicals (poisons) in
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This note was uploaded on 09/06/2010 for the course STAT STAT1306 taught by Professor Prof during the Fall '08 term at HKU.

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Ex2 - THE UNIVERSITY OF HONG KONG DEPARTMENT OF STATISTICS...

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