Bayes' theorem is derived from the definition of: MCQ with Answer and Explanation

Question Report Error

Bayes' theorem is derived from the definition of:

A. Independent events

B. Conditional probability

C. Mutually exclusive events

D. Sample space

Answer: Option B

Solution (By JKExamLibrary)

Bayes' theorem follows directly from the definition of conditional probability: P(A|B) = P(A∩B)/P(B) and P(B|A) = P(A∩B)/P(A), equating the expressions for P(A∩B).

This question belongs to: Accountancy and Statistics Statistics

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Practice More Statistics Questions

Question #1 Report Error

If a constant is subtracted from all observations, the arithmetic mean:

A. Becomes zero

B. Remains the same

C. Increases by the constant

D. Decreases by the same constant

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Correct Answer: Option D

Explanation:
Mean changes by the same amount as the change in origin.

This question belongs to: Accountancy and Statistics Statistics

Question #2 Report Error

If a dataset has a standard deviation of zero, then:

A. Data are missing

B. All values are equal

C. Mean is zero

D. Median is zero

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Correct Answer: Option B

Explanation:
No variation implies all values are identical.

This question belongs to: Accountancy and Statistics Statistics

Question #3 Report Error

Vital statistics from civil registration are superior to survey estimates for:

A. Small area estimation

B. All of the above

C. Timely monitoring of recent changes

D. Long-term trend analysis

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Correct Answer: Option B

Explanation:
Well-functioning civil registration provides continuous, complete, and timely data, enabling accurate trend analysis, real-time monitoring, and small-area estimates, unlike periodic surveys with sampling error and recall bias.

This question belongs to: Accountancy and Statistics Statistics

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