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An article consists of two parts a and B. The manufacturing process of each part is such that probability of defect in A is 0.08 and that B is 0.05. What is the probability that the assembled product will not have any defect?
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An article consists of two parts a and B. The manufacturing process of...
Problem: Find the probability that the assembled product will not have any defect if the probability of defect in part A is 0.08 and that in part B is 0.05.
Solution:
To find the probability of the assembled product not having any defect, we need to use the formula for the probability of the intersection of two events.
P(A ∩ B) = P(A) x P(B)
where P(A) is the probability of defect in part A and P(B) is the probability of defect in part B.
Substituting the given values, we get:
P(A ∩ B) = 0.08 x 0.05
P(A ∩ B) = 0.004
This means that the probability of both parts having a defect is 0.004.
To find the probability of the assembled product not having any defect, we need to subtract the probability of both parts having a defect from 1.
P(No Defect) = 1 - P(A ∩ B)
P(No Defect) = 1 - 0.004
P(No Defect) = 0.996
Therefore, the probability that the assembled product will not have any defect is 0.996 or 99.6%.
Conclusion:
The probability that the assembled product will not have any defect is 0.996 or 99.6%.
Solution:
To find the probability of the assembled product not having any defect, we need to use the formula for the probability of the intersection of two events.
P(A ∩ B) = P(A) x P(B)
where P(A) is the probability of defect in part A and P(B) is the probability of defect in part B.
Substituting the given values, we get:
P(A ∩ B) = 0.08 x 0.05
P(A ∩ B) = 0.004
This means that the probability of both parts having a defect is 0.004.
To find the probability of the assembled product not having any defect, we need to subtract the probability of both parts having a defect from 1.
P(No Defect) = 1 - P(A ∩ B)
P(No Defect) = 1 - 0.004
P(No Defect) = 0.996
Therefore, the probability that the assembled product will not have any defect is 0.996 or 99.6%.
Conclusion:
The probability that the assembled product will not have any defect is 0.996 or 99.6%.
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An article consists of two parts a and B. The manufacturing process of each part is such that probability of defect in A is 0.08 and that B is 0.05. What is the probability that the assembled product will not have any defect?
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An article consists of two parts a and B. The manufacturing process of each part is such that probability of defect in A is 0.08 and that B is 0.05. What is the probability that the assembled product will not have any defect? for CA Foundation 2024 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about An article consists of two parts a and B. The manufacturing process of each part is such that probability of defect in A is 0.08 and that B is 0.05. What is the probability that the assembled product will not have any defect? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for An article consists of two parts a and B. The manufacturing process of each part is such that probability of defect in A is 0.08 and that B is 0.05. What is the probability that the assembled product will not have any defect?.
An article consists of two parts a and B. The manufacturing process of each part is such that probability of defect in A is 0.08 and that B is 0.05. What is the probability that the assembled product will not have any defect? for CA Foundation 2024 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about An article consists of two parts a and B. The manufacturing process of each part is such that probability of defect in A is 0.08 and that B is 0.05. What is the probability that the assembled product will not have any defect? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for An article consists of two parts a and B. The manufacturing process of each part is such that probability of defect in A is 0.08 and that B is 0.05. What is the probability that the assembled product will not have any defect?.
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