STAT-230-1079-Final_exam

# STAT-230-1079-Final_exam - Part I Multiple Choice Questions...

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Part I. Multiple Choice Questions There are four choices for each of the following questions and only one of them is correct. Circle the correct answer for each of the questions. (Total mark: 10; 2 marks for each correctly circled question and 0 otherwise) 1. You are given that P ( A ) = 0 . 6, P ( B ) = 0 . 7, and P ( A B ) = 0 . 9. Which of the following statements is true ? (a) A and B are independent (b) P ( A B ) = 0 . 42 (c) A and B are mutually exclusive events (d) P ( B | A ) = 2 / 3. 2. If P ( A ) = 0 . 30, P ( B ) = 0 . 40, and P ( A | B ) = 0 . 6 then P ( A B ) is (a) 0 . 7 (b) 0 . 1 (c) 0 . 8 (d) 0 . 46 3. Which of the following is an example of a binomial experiment? (a) A shopping mall is interested in the income level of its customers and is taking a survey to gather information. (b) A business ﬁrm introducing a new product wants to know how many purchases its clients will make each year. (c) A sociologist is researching an area in an eﬀort to determine the proportion of households with a male head of household. (d) A study is concerned with the average number of hours worked by high school students. 4. Let X be a discrete random variable with probability function f ( i ) = P ( X = i ) = i/ 6, i = 1 , 2 , 3. What is E ( X 2 - 1)? (a) 3 (b) 4 (c) 5 (d) 6 5. Which one of the following statements is true. (a) The Hypergeometric random variable is the number of successes that occur in a certain period of time or space. (b) To determine the probability of a given number of defective items in a shipment, when the sam- pling is without replacement, the appropriate probability distribution is a Hypergeometric distribution.

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STAT-230-1079-Final_exam - Part I Multiple Choice Questions...

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