The TFR is expressed as: MCQ with Answer and Explanation

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The TFR is expressed as:

A. Deaths per 1000 live births

B. Children per woman

C. Population per sq km

D. Births per 1000 women

Answer: Option B

Solution (By JKSSB Mock Tests)

Total Fertility Rate is the average number of children a woman would bear.

This question belongs to: Accountancy and Statistics Statistics

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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:

A. 0.45

B. 0.43

C. 0.30

D. 0.50

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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.

This question belongs to: Accountancy and Statistics Statistics