Life expectancy at birth increased from 60 to 65 years. This indicates: MCQ with Answer and Explanation
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Question #1
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For mutually exclusive events A and B with P(A)=0.4, P(B)=0.3, P(A∪B) is:
Correct Answer: Option B
Explanation:
Since A and B are mutually exclusive, P(A∪B) = P(A) + P(B) = 0.7.
Since A and B are mutually exclusive, P(A∪B) = P(A) + P(B) = 0.7.
This question belongs to:
Accountancy and Statistics
Statistics
Question #2
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Gross Reproduction Rate (GRR) of 1.0 means that, on average, each woman has:
Correct Answer: Option A
Explanation:
GRR counts only female births; GRR=1.0 indicates each woman has exactly one daughter on average, suggesting potential replacement of the female population if mortality is ignored.
GRR counts only female births; GRR=1.0 indicates each woman has exactly one daughter on average, suggesting potential replacement of the female population if mortality is ignored.
This question belongs to:
Accountancy and Statistics
Statistics
Question #3
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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
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