# Ex3 - 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 3 1. An explosion at a construction site could have occurred as the result of static electricity, malfunctioning of equipment, carelessness or sabotage. Interviews with construction engineers analyzing the risks involved led to the estimates that such an explosion would occur with probability 0.25 as a result of static electricity, 0.20 as a result of malfunctioning of equipment, 0.40 as a result of carelessness and 0.75 as a result of sabotage. It is also felt that the prior probabilities of the four cases of the explosion are 0.30, 0.30, 0.25 and 0.15. Based on all this information, what is : a) the most likely cause of the explosion ? b) the least likely cause of the explosion? 2. A box contains 5 red and 3 white marbles. Four marbles are randomly drawn out, one after another, without replacement. Find the probability that at least half of the 4 drawn marbles are white.

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3. A box of fuses contains 30 fuses, of which 6 of them are defective.
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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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Ex3 - THE UNIVERSITY OF HONG KONG DEPARTMENT OF STATISTICS...

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