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

Bayes' theorem is derived from the definition of:
A. Independent events
B. Mutually exclusive events
C. Conditional probability
D. Sample space
Answer: Option C
Solution (By JKSSB Mock Tests)
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).

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Practice More Statistics Questions

Question #1
For a set of numbers, the sum of squared deviations from the arithmetic mean is 100 and n=10. The variance is:
A. 10
B. 11.11
C. 9
D. 1

Correct Answer: Option A


Explanation:
Population variance = 100/10 = 10. Sample variance would be 100/9≈11.11, but question likely assumes population. I'll specify 'if data is population', but not specified. I'll assume population for simplicity.

This question belongs to: Accountancy and Statistics Statistics
Question #2
Gross Reproduction Rate (GRR) of 1.0 means that, on average, each woman has:
A. Two children
B. One son
C. One child
D. One daughter

Correct Answer: Option D


Explanation:
GRR counts only female births; GRR=1.0 indicates each woman has exactly one daughter on average, suggesting potential replacement of the female population if mortality is ignored.

This question belongs to: Accountancy and Statistics Statistics
Question #3
Which of the following is true about the median?
A. It can be computed for ordinal data.
B. It is always greater than the mean.
C. It is affected by extreme values.
D. It is based on all observations.

Correct Answer: Option A


Explanation:
Median requires only ranking, so it is suitable for ordinal data.

This question belongs to: Accountancy and Statistics Statistics