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The probability that a randomly selected person has cancer is 0:02 . The probability

ISBN: 9781921972089 446

Solution for problem 13 Chapter 22

Mathematics for the International Student: Mathematics SL | 3rd Edition

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Problem 13

The probability that a randomly selected person has cancer is 0:02 . The probability that he or she reacts positively to a test which detects cancer is 0:95 if he or she has cancer, and 0:03 if he or she does not. Determine the probability that a randomly tested person: a reacts positively b has cancer given that he or she reacts positively

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Week 1 Lecture 1 (1/12/2016) Introduction: Ring theory essentially generalizes the ideas familiar to us through our knowledge of the integers. We shall see some theorems and proofs. Well-Ordering axiom: This axiom states that every non-empty set of non-negative integers contain a smallest element. This axiom is helpful in many of the proofs that we will be learning next. Division Algorithm: Let a, b ∈ ℤ, b>0, then there exists unique integers q, r with the property that 1. a=bq+r 2. 0≤r0; -1

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The probability that a randomly selected person has cancer is 0:02 . The probability