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

Bayes' theorem is used to find:
A. Joint probability
B. Posterior probability
C. Complementary probability
D. Unconditional probability
Answer: Option B
Solution (By JKSSB Mock Tests)
Bayes' theorem updates prior probabilities with new evidence to give posterior probabilities.

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Practice More Statistics Questions

Question #1
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. 95.0%
C. 15.3%
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
Laspeyres index tends to ______ the price increase.
A. Perfectly measure
B. Overstate
C. Ignore
D. Understate

Correct Answer: Option B


Explanation:
Because it uses fixed base period quantities, Laspeyres index does not account for substitution away from goods that have become relatively expensive.

This question belongs to: Accountancy and Statistics Statistics
Question #3
Assertion (A): A good questionnaire should avoid leading questions. Reason (R): Leading questions suggest a particular answer and bias the response. Choose the correct option:
A. Both A and R are true, but R is not the correct explanation of A
B. Both A and R are true, and R is the correct explanation of A
C. A is false, R is true
D. A is true, R is false

Correct Answer: Option B


Explanation:
Leading questions bias respondents, so they must be avoided. R correctly explains A.

This question belongs to: Accountancy and Statistics Statistics