Bayes' theorem is particularly useful in: MCQ with Answer and Explanation

Bayes' theorem is particularly useful in:
A. Constructing frequency distributions
B. Calculating simple probabilities
C. Updating beliefs with new evidence in diagnostic testing or machine learning
D. Determining sample size
Answer: Option C
Solution (By JKExamLibrary)
Bayes' theorem provides a formal framework for revising prior probabilities based on observed data, crucial in medical testing (e.g., disease probability given positive test) and Bayesian statistics.

This question belongs to: Accountancy and Statistics Statistics

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Practice More Statistics Questions

Question #1 Report Error
If the price index for 2021 (base 2020) is 110 and for 2022 (base 2021) is 105, the chain index for 2022 with base 2020 is:
A. 115.5
B. 110.0
C. 115.0
D. 105.0

Correct Answer: Option A


Explanation:
Chain index = 110 × (105/100) = 115.5.

This question belongs to: Accountancy and Statistics Statistics
Question #2 Report Error
Which reproduction rate indicates the exact potential of a population to replace itself?
A. General Fertility Rate
B. Total Fertility Rate
C. Gross Reproduction Rate
D. Net Reproduction Rate

Correct Answer: Option D


Explanation:
Net Reproduction Rate (NRR) accounts for female mortality before reaching the end of the reproductive period.

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Question #3 Report Error
General Fertility Rate (GFR) is higher than Crude Birth Rate (CBR) when:
A. Infant mortality is high
B. The proportion of women aged 15-49 is low
C. The proportion of women aged 15-49 is high
D. Life expectancy is low

Correct Answer: Option B


Explanation:
GFR denominator is only women 15-49, while CBR uses total population. If this group is a small share of total population (e.g., aging society), GFR > CBR because the same births are divided by a smaller denominator.

This question belongs to: Accountancy and Statistics Statistics