Ex1 - 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 1 1. a) Determine the number of different permutations of three of the first four letters of the alphabet a, b, c, d, and list them all. b) If we are NOT concerned with the order then in how many ways can the selection be made? 2. In how many ways can 8 different books be arranged on a shelf? 3. Find the number of ways in which 4 of 10 teams can be ranked 1 st ,2 nd ,3 rd and 4 th ? 4. In how many ways can a committee of 4 be selected from a group of 15 people? 1
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5. Among 20 applicants for 5 positions advertised on a newspaper, 9 are college graduates. If the selection is random, what is the probability that the positions will be filled by 3 graduates and 2 non-graduates? 6. Draw a Venn diagram for each of the following: a) B b) B A c) B C d) C A e) Mutually exclusive events f) A B 2
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7. One card is selected at random from a regular deck of 52 cards. Find the probability that the card selected is:
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Ex1 - THE UNIVERSITY OF HONG KONG DEPARTMENT OF STATISTICS...

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