If P(A)=0.5, P(B)=0.4, P(A∩B)=0.3, then P(A but not B) is: MCQ with Answer and Explanation

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If P(A)=0.5, P(B)=0.4, P(A∩B)=0.3, then P(A but not B) is:

A. 0.1

B. 0.5

C. 0.8

D. 0.2

Answer: Option D

Solution (By JKSSB Mock Tests)

P(A∩B') = P(A) - P(A∩B) = 0.5 - 0.3 = 0.2.

This question belongs to: Accountancy and Statistics Statistics

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Question #1

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Age-specific fertility rate for age group 25-29 is 120 per 1000 women. If there are 15,000 women in this age group, the expected number of births to them is:

A. 2000

B. 1200

C. 1800

D. 1500

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Correct Answer: Option C

Explanation:
Births = ASFR × (number of women) / 1000 = 120 × 15000 / 1000 = 1800.

This question belongs to: Accountancy and Statistics Statistics

Question #2

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Combined mean formula is essential when:

A. Merging means from groups of different sizes

B. Data is qualitative

C. Calculating mode

D. All groups have the same size

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Correct Answer: Option A

Explanation:
Combined mean = (n₁x̄₁ + n₂x̄₂) / (n₁ + n₂) weights each group's mean by its size, providing the correct overall mean when aggregating subgroup statistics.

This question belongs to: Accountancy and Statistics Statistics