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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(A₂) = .07 P(A₂) = .05 P(A, UA₂) = 13 P(A, UA3) = .14 P(A₁ A₂ A3) = .01 P(A₂ UA3) = .10 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? e. What is the probability that the system has both type I and type 2 defects but not a type 3 defect? What is the probability that the system has at most two of these defects? d.

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(A₂) = .07 P(A₂) = .05 P(A, UA₂) = 13 P(A, UA3) = .14 P(A₁ A₂ A3) = .01 P(A₂ UA3) = .10 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? e. What is the probability that the system has both type I and type 2 defects but not a type 3 defect? What is the probability that the system has at most two of these defects? d.

A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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How can I answer the letters b, c, and d of question 26?

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(A₂) = .07 P(A3) = .05 P(A, UA₂) = .13 P(A₂UA₂) = .10 P(A, UA₂) = .14 P(A₁ A₂ A3) = .01 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? e. What is the probability that the system has both type I and type 2 defects but not a type 3 defect? What is the probability that the system has at most two of these defects? d.
Transcribed Image Text: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(A₂) = .07 P(A3) = .05 P(A, UA₂) = .13 P(A₂UA₂) = .10 P(A, UA₂) = .14 P(A₁ A₂ A3) = .01 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? e. What is the probability that the system has both type I and type 2 defects but not a type 3 defect? What is the probability that the system has at most two of these defects? d.
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