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)

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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