Statistics > QUESTION PAPER (QP) > THE UNIVERSITY OF HONG KONG | DEPARTMENT OF STATISTICS AND ACTURIAL SCIENCE | STAT 1301 PROBABILITY (All)

THE UNIVERSITY OF HONG KONG | DEPARTMENT OF STATISTICS AND ACTURIAL SCIENCE | STAT 1301 PROBABILITY AND STATISTICS I

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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 eventsAandBmutually exclusive? Why?2.The menu for breakfast of a coffee shop consists of the f ... ollowing items under categoriesA,BandC.ABCsausagenoodlecoffeeeggspaghettiteavermicellijuiceporridge(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 usesthe letters A, B, C and D. For example, AA032 and BD369 are valid product codes. If a product isselected at random, what is the probability that(a)it begins with the letter A?(b)the first two letters are identical?(c)the letters are identical and the digits are equal? (d)the letters are formed by B and D, and the 3-digit number is even? 4.3 boys and 4 girls line up randomly in a row. What is the probability that(a)all boys are on one side? (b)boys and girls are in alternate positions?(c)no 2 boys sit next to each other? [Show More]

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