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tutorial1 - THE UNIVERSITY OF HONG KONG DEPARTMENT OF...

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THE UNIVERSITY OF HONG KONG DEPARTMENT OF STATISTICS AND ACTURIAL SCIENCE STAT 1301 PROBABILITY AND STATISTICS I EXAMPLE CLASS 1 1. It is given that P( A ) = 0.3, P( B ) = 0.2 and P( A B ) = 0.24. (a) Find P( A B ). (b) Find P( A B ). (c) Are events A and B mutually exclusive? Why? 2. The menu for breakfast of a coffee shop consists of the following items under categories A , B and C . A B C sausage noodle coffee egg spaghetti tea vermicelli juice porridge (a) How many different sets of breakfast can be formed? (b) If a waiter gives one randomly formed set of breakfast to a customer, what is the probability that (i) the drink is coffee? (ii) spaghetti is excluded? 3. A product code of a manufacturer consists of 2 letters followed by 3 digits. The manufacturer only uses the letters A, B, C and D. For example, AA032 and BD369 are valid product codes. If a product is selected at random, what is the probability that (a) it begins with the letter A? (b)
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tutorial1 - THE UNIVERSITY OF HONG KONG DEPARTMENT OF...

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