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

Bayes' Theorem is primarily used to calculate:
A. Joint probabilities
B. Posterior probabilities
C. Marginal probabilities
D. Prior probabilities
Answer: Option B
Solution (By JKExamLibrary)
Bayes' theorem updates prior probabilities using new evidence to compute posterior probabilities.

This question belongs to: Accountancy and Statistics Statistics

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Practice More Statistics Questions

Question #1 Report Error
A medical test has 95% sensitivity and 90% specificity. If disease prevalence is 1%, the probability that a person with a positive test actually has the disease is approximately:
A. 8.7%
B. 15.3%
C. 95.0%
D. 50.0%

Correct Answer: Option A


Explanation:
Using Bayes: P(Disease|Positive) = [Sensitivity × Prevalence] / [Sensitivity×Prev + (1-Specificity)×(1-Prev)] = (0.95×0.01) / (0.95×0.01 + 0.10×0.99) = 0.0095 / (0.0095 + 0.099) = 0.0095/0.1085 ≈ 0.0876 ≈ 8.7%. Highlights low positive predictive value when prevalence is low.

This question belongs to: Accountancy and Statistics Statistics
Question #2 Report Error
General Fertility Rate (GFR) is expressed per:
A. 1,000 live births
B. 100 women
C. 10,000 total population
D. 1,000 women aged 15-49 years

Correct Answer: Option D


Explanation:
GFR = (Live births in a year / Mid-year population of women aged 15-49) × 1,000, standardizing fertility measurement to the population at risk of childbearing.

This question belongs to: Accountancy and Statistics Statistics
Question #3 Report Error
For two attributes A and B, the relationship (AB) + (Aβ) equals:
A. (β)
B. (B)
C. N
D. (A)

Correct Answer: Option D


Explanation:
The total frequency of attribute A is the sum of those possessing both A and B, and those possessing A but lacking B.

This question belongs to: Accountancy and Statistics Statistics