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hw1 - AMS 311(Fall 2009 Joe Mitchell PROBABILITY THEORY...

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AMS 311 (Fall, 2009) Joe Mitchell PROBABILITY THEORY Homework Set # 1 Due at the beginning of class on Thursday, September 10, 2009 Reminder: Show your reasoning! Read: Ross, sections 1.1-1.4 of Chapter 1, and sections 2.1-2.5 of Chapter 2 . SPECIFICS OF READING ASSIGNMENT: Examples to read carefully: Chapter 1: 2a–2e; 3a–3f; 4a–4e Chapter 2: 3a, 3b, 4a, 5a–5j, 5l (1). (13 points) Problem 5, Ross, Chapter 2. (same problem in 7th or 8th edition) (2). (16 points) Among 33 students in a class, 17 of them earned A’s on the midterm exam, 14 earned A’s on the final exam, and 11 did not earn A’s on either examination. What is the probability that a randomly selected student from this class earned an A on both exams? What is the sample space and event, in your notation? (3). (18 points) A hospital administrator codes incoming patients suffering gunshot wounds according to whether they have insurance (coding 1 if they do and 0 if they do not) and according to their condition, which is rated as good (g), fair (f), or serious (s). Consider an experiment that consists of the coding of such a patient.
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