Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN: 9781285463247
Author: David Poole
Publisher: Cengage Learning
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26. A certain system can experience three different types of defects. Let A;(i = 1,2,3) denote the event that the sys- tem has a defect of type i. Suppose that
P(A1) = .12 P(A) = .07 P(A) = .05
P(A, U A2) = .13
P(A, U A3) = .14
P(A2 U A3) = .10
P(A, A2 A3) = .01
1
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a. What is the probability that the system does not have
a type 1 defect?
b. What is the probability that the system has both type 1 and type 2 defects?
c. What is the probability that the system has both type 1 and type 2 defects but not a type 3 defect? d. What is the probability that the system has at most two of these defects?

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