If (AB) = 0, the attributes A and B are: MCQ with Answer and Explanation
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Question #1
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In a factory, machines A, B, and C produce 30%, 45%, and 25% of total output, with defect rates of 2%, 3%, and 4% respectively. If a randomly selected item is defective, the probability it was produced by machine B is approximately:
Correct Answer: Option B
Explanation:
Using Bayes' theorem: P(B|Defective) = [P(Defective|B) × P(B)] / [Σ P(Defective|machine) × P(machine)] = (0.03×0.45) / (0.02×0.30 + 0.03×0.45 + 0.04×0.25) = 0.0135 / 0.0315 ≈ 0.4286 ≈ 0.43.
Using Bayes' theorem: P(B|Defective) = [P(Defective|B) × P(B)] / [Σ P(Defective|machine) × P(machine)] = (0.03×0.45) / (0.02×0.30 + 0.03×0.45 + 0.04×0.25) = 0.0135 / 0.0315 ≈ 0.4286 ≈ 0.43.
This question belongs to:
Accountancy and Statistics
Statistics
Question #2
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If a frequency distribution has class intervals 10-20, 20-30, 30-40 and a value 30 is placed in 30-40, the classification is:
Correct Answer: Option A
Explanation:
This is the convention of exclusive classification: upper limit excluded from the interval.
This is the convention of exclusive classification: upper limit excluded from the interval.
This question belongs to:
Accountancy and Statistics
Statistics
Question #3
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The harmonic mean of 1, 2, and 4 is:
Correct Answer: Option D
Explanation:
HM = 3 / (1 + 1/2 + 1/4) = 3 / 1.75 = 12/7.
HM = 3 / (1 + 1/2 + 1/4) = 3 / 1.75 = 12/7.
This question belongs to:
Accountancy and Statistics
Statistics
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