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# Midterm - MAT 2378 Midterm version A 26 October 2009 Time...

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MAT 2378 Midterm version A 26 October, 2009 Professor: Pawel Lorek Time: 70 minutes Student Number: Family Name: First Name: This is a closed book examination. Only non-programmable and non-graphic calculators are permitted. Record your answer to each question in the table below. NOTE: At the end of the examination, hand in only this page. Question Answer 1 2 3 4 5 6 7 8 9 10 1

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Q 1. In a study of the lizard Sceloporus occidentalis , biologists measured the distance (m) run in two minutes for each of 15 animals. The results were as follows: 32.9 32.9 34.0 34.8 37.5 42.1 45.5 45.5 18.4 22.2 24.5 26.4 27.5 28.7 30.6 The median and the first quartile are, respectively, : (a) 32.9; 26.4; (b) 32.9; 27.5; (c) 33.1; 26.95; (d) 33.1; 26.4 (e) none of the preceding Q 2. Suppose a certain drug test is 99% sensitive and 99% specific, that is, the test will correctly identify a drug user as testing positive 99% of the time, and will correctly identify a non-user as testing negative 99% of the time. Let’s assume a corporation decides to test its employees for opium use, and it is known 0.5% of the employees use the drug. The probability that, given a positive drug test, an employee is not a drug user, is: (a) 0 . 3322 (b) 0 . 1622 (c) 0 . 6678 (d) 0 . 01 (e) none of the preceding Solution to Q2: Let D be the event of being a drug user and N indicate being a non-user. Let A
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