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Fall 2007

# Fall 2007 - Part I Multiple Choice Questions There are four...

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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 3. Which of the following is an example of a binomial experiment? 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)? 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. (c) The Poisson distribution is applied to events for which the probability of occurrence over a given span of time, space, or distance is very small. (d) The Poisson random variable is a discrete random variable with finitely many possible values.

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Fall 2007 - Part I Multiple Choice Questions There are four...

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