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 1.11.4 of Chapter 1, and sections 2.12.5 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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 Fall '08
 Tucker,A
 Probability theory, class a, possible value, maximum possible value

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