A certain system can experience three different types of defects. Let A; (i = 1,2,3) denote the event that thesystem has a defect of type i. Suppose thatP(41) = 0.38, P(A2) = 0.38, P(A3) = 0.42,P(A1 U.A2) = 0.65, P(41 U A3) = 0.69,P(A, U A3) = 0.72, P(41 N A2 N A3) = 0.01(a) Find the probability that the system has exactly 2 of the 3 types of defects.(b) Find the probability that the system has a type 1 defect given that it does not have a type 2 or type 3 defect.

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Description: A certain system can experience three different types of defects. Let A; (i = 1,2,3) denote the event that thesystem has a defect of type i. Suppose thatP(41) = 0.38, P(A2) = 0.38, P(A3) = 0.42,P(A1 U.A2) = 0.65, P(41 U A3) = 0.69,P(A, U A3) = 0.72,

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A certain system can experience three different types of defects. Let A; (i = 1,2,3) denote the event that the system has a defect of type i. Suppose that P(A1) = 0.38, P(A2) = 0.38, P(A3)= 0.42, P(A1 U.A2) = 0.65, P(41 U A3) = 0.69, P(A2 U.A3) = 0.72, P(A1 N A2 N A3) = 0.01 (a) Find the probability that the system has exactly 2 of the 3 types of defects. (b) Find the probability that the system has a type 1 defect given that it does not have a type 2 or type 3 defect.

A certain system can experience three different types of defects. Let A; (i = 1,2,3) denote the event that the system has a defect of type i. Suppose that P(A1) = 0.38, P(A2) = 0.38, P(A3)= 0.42, P(A1 U.A2) = 0.65, P(41 U A3) = 0.69, P(A2 U.A3) = 0.72, P(A1 N A2 N A3) = 0.01 (a) Find the probability that the system has exactly 2 of the 3 types of defects. (b) Find the probability that the system has a type 1 defect given that it does not have a type 2 or type 3 defect.

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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