Lypes of the following probabilities are true. P(A,) = 0.15 P(A, U A2) = 0.17 P(A, U A3) = 0.15 P(A,) = 0.10 P(A, U A3) = 0.18 P(A, N A, NAg) = 0.02 P(A,) = 0.08 (a) What is the probability that the system does not have a type 1 defect? 0.85 (b) What is the probability that the system has both type 1 and type 2 defects? 0.08 (c) What is the probability that the system has both type 1 and type 2 defects but not a type 3 defect? 0.06 (d) What is the probability that the system has at most two of these defects?
Lypes of the following probabilities are true. P(A,) = 0.15 P(A, U A2) = 0.17 P(A, U A3) = 0.15 P(A,) = 0.10 P(A, U A3) = 0.18 P(A, N A, NAg) = 0.02 P(A,) = 0.08 (a) What is the probability that the system does not have a type 1 defect? 0.85 (b) What is the probability that the system has both type 1 and type 2 defects? 0.08 (c) What is the probability that the system has both type 1 and type 2 defects but not a type 3 defect? 0.06 (d) What is the probability that the system has at most two of these defects?
MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Chapter1: Starting With Matlab
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I need assistence with part D
Transcribed Image Text: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
the following probabilities are true.
P(A,) = 0.15
P(A, U A2) = 0.17
P(A, U A3) = 0.15
P(A,) = 0.10
P(A, U A3) = 0.18
P(A, N A, N A) = 0.02
P(A,) = 0.08
(a) What is the probability that the system does not have a type 1 defect?
0.85
(b) What is the probability that the system has both type 1 and type 2 defects?
0.08
(c) What is the probability that the system has both type 1 and type 2 defects but not a type 3 defect?
0.06
(d) What is the probability that the system has at most two of these defects?
Expert Solution
Step 1
Given that
Let Ai (i=1,2,3) denote the event that the system has a defect of type i
P(A1)=0.15 ,
P(A2)=0.10
P(A3)=0.08
P(A1A2A3)=0.02
P(A1A2)=0.17
P(A2A3)=0.18
P(A2A3)=0.15
We have to find the probability that the system has at most two of these defects
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