Two events are said to be exhaustive if: MCQ with Answer and Explanation

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Two events are said to be exhaustive if:

A. They are independent

B. Their union is the entire sample space

C. They have equal probabilities

D. They cannot occur together

Answer: Option B

Solution (By JKSSB Mock Tests)

Exhaustive events cover all possible outcomes.

This question belongs to: Accountancy and Statistics Statistics

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Practice More Statistics Questions

Question #1

The sex ratio in India (Census 2011) is defined as:

A. Number of females per 1000 males

B. Number of males per 1000 population

C. Number of males per 1000 females

D. Number of females per 1000 population

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Correct Answer: Option A

Explanation:
Sex ratio is females per 1000 males; in 2011 it was 943.

This question belongs to: Accountancy and Statistics Statistics

Question #2

If the Laspeyres price index is 120 and Paasche price index is 110, Fisher's ideal index is approximately:

A. 114.0

B. 114.9

C. 115.5

D. 116.0

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Correct Answer: Option B

Explanation:
Fisher's index = √(120 × 110) = √13200 ≈ 114.89 ≈ 114.9. This geometric mean balances the upward bias of Laspeyres and downward bias of Paasche.

This question belongs to: Accountancy and Statistics Statistics

Question #3

For a set of positive numbers, the harmonic mean is always:

A. Greater than arithmetic mean

B. Greater than geometric mean

C. Less than or equal to geometric mean

D. Equal to the median

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Correct Answer: Option C

Explanation:
For positive numbers, AM ≥ GM ≥ HM. So HM ≤ GM.

This question belongs to: Accountancy and Statistics Statistics

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