AMS 311 (Fall, 2009)Joe MitchellPROBABILITY THEORYHomework Set # 1Due at the beginning of class on Thursday, September 10, 2009Reminder: 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–4eChapter 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 finalexam, and 11 did not earn A’s on either examination.What is the probability that a randomly selectedstudent 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 theyhave insurance (coding 1 if they do and 0 if they do not) and according to their condition, which is rated asgood (g), fair (f), or serious (s). Consider an experiment that consists of the coding of such a patient.
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Probability theory, class a, possible value, maximum possible value