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?
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter12: Probability
Section12.CR: Chapter 12 Review
Problem 83CR
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I need assistence with part D
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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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