stat1301test_makeup solu

# stat1301test_makeup solu - 09/10 THE UNIVERSITY OF HONG...

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09/10 p. 1 THE UNIVERSITY OF HONG KONG DEPARTMENT OF STATISTICS AND ACTUARIAL SCIENCE STAT1301 Probability and Statistics I Class Test (Makeup) A n s w e r a l l q u e s t i o n s . T i m e a l l o w e d : 5 0 m i n s Name ______________________ Student ID _________________ Class ___________ 1. [10 marks] (a) State the definition of mutually exclusive events . Ans: A group of events are said to be mutually exclusive if there is no common element between any two of these events, i.e. n E E E ,..., , 2 1 φ = j j E E for all j i . (b) State the definition of independent events . Ans: A group of events are said to be (mutually) independent if the probability of the intersection of any sub-collection of them is equal to the product of the probabilities of the single events in that sub-collection. n E E E ,..., , 2 1 P. T. O.

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09/10 p. 2 ) ) 2. [10 marks] There are two identical coins except that one is fair with an equal probability of landing on the head and tail if it is tossed, while the other is biased with a probability of 0.7 to land on
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## This note was uploaded on 01/16/2012 for the course STAT 1301 taught by Professor Smslee during the Fall '08 term at HKU.

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stat1301test_makeup solu - 09/10 THE UNIVERSITY OF HONG...

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