If two events are exhaustive, then: MCQ with Answer and Explanation

If two events are exhaustive, then:

A. P(A∪B) = 1

B. P(A) = P(B)

C. P(A∩B) = 0

D. A and B are independent

Answer: Option A

Exhaustive events cover the entire sample space.

This question belongs to: Accountancy and Statistics Statistics

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Question #1 Report Error

A cumulative frequency distribution shows the number of observations:

A. Only in the first class

B. Less than or more than certain values

C. Exactly equal to a value

D. In the modal class

Correct Answer: Option B

Explanation:
Cumulative frequencies sum frequencies up to a certain point (less than type) or from a point (more than type).

This question belongs to: Accountancy and Statistics Statistics

Question #2 Report Error

Total Fertility Rate (TFR) is obtained by summing age-specific fertility rates and multiplying by:

A. 1000

B. 5 if 5-year age groups are used

C. 1

D. 10

Correct Answer: Option B

Explanation:
Because each ASFR is per 1000 women for a 5-year span, the sum is multiplied by 5 to give children per woman.

This question belongs to: Accountancy and Statistics Statistics

Question #3 Report Error

For any two events A and B, P(A∪B) is:

A. Both A and B

B. Always ≤ P(A) + P(B)

C. Always ≤ 1

D. Always ≥ P(A∩B)

Correct Answer: Option A

Explanation:
By the addition rule, P(A∪B) ≤ P(A)+P(B), and probability of any event is ≤1.

This question belongs to: Accountancy and Statistics Statistics