Bayes' theorem is primarily used to: MCQ with Answer and Explanation

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Bayes' theorem is primarily used to:

A. Determine if two events are mutually exclusive

B. Compute the expected value of a random variable

C. Calculate the probability of the union of events

D. Update the probability of a hypothesis based on new evidence

Answer: Option D

Solution (By JKExamLibrary)

Bayes' theorem allows revising prior probabilities of hypotheses in light of new data or evidence, making it fundamental in statistical inference and decision-making under uncertainty.

This question belongs to: Accountancy and Statistics Statistics

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Practice More Statistics Questions

Question #1 Report Error

Standardized Death Rate (SDR) is used to:

A. Estimate infant mortality from census data

B. Compare mortality between populations with different age structures

C. Calculate crude death rates for small areas

D. Adjust birth rates for underreporting

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Correct Answer: Option B

Explanation:
SDR applies age-specific death rates of a population to a standard age distribution, eliminating the confounding effect of age structure to enable fair mortality comparisons across regions or time.

This question belongs to: Accountancy and Statistics Statistics

Question #2 Report Error

If a population has a high infant mortality rate, its life expectancy at birth is likely:

A. Unaffected

B. Equal to fertility

C. High

D. Low

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Correct Answer: Option D

Explanation:
High infant deaths reduce the average life expectancy.

This question belongs to: Accountancy and Statistics Statistics

Question #3 Report Error

Population growth rate is calculated as:

A. Crude Birth Rate - Crude Death Rate

B. (Births + Immigration - Deaths - Emigration) / Mid-year population × 100

C. Both B and C are correct

D. (Births - Deaths) / Mid-year population × 100

View Answer & Solution Discuss

Correct Answer: Option C

Explanation:
Natural growth rate = CBR - CDR (per 1,000); overall growth rate includes net migration. Both formulations are used, with B being comprehensive and C focusing on natural increase.

This question belongs to: Accountancy and Statistics Statistics

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