Given P(A)=0.7, P(B)=0.5, and P(A∩B)=0.45. Which statement is correct? MCQ with Answer and Explanation

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Given P(A)=0.7, P(B)=0.5, and P(A∩B)=0.45. Which statement is correct?

A. A and B are independent.

B. P(A∪B) = 0.8.

C. A and B are mutually exclusive.

D. A and B are dependent, and P(A|B) = 0.9.

Answer: Option D

Solution (By JKSSB Mock Tests)

P(A|B)=0.45/0.5=0.9 ≠ P(A)=0.7, so dependent. P(A∪B)=0.7+0.5-0.45=0.75 ≠ 0.8.

This question belongs to: Accountancy and Statistics Statistics

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Question #1

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

A. 0.2

B. 0.8

C. 0.5

D. 0.1

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Correct Answer: Option A

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

This question belongs to: Accountancy and Statistics Statistics

Question #2

If a constant 5 is subtracted from all observations, the arithmetic mean:

A. Becomes 5 times

B. Remains same

C. Increases by 5

D. Decreases by 5

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Correct Answer: Option D

Explanation:
Mean is affected by change of origin; subtracting 5 reduces mean by 5.

This question belongs to: Accountancy and Statistics Statistics

Question #3

Primary data is collected:

A. From old records

B. From published sources

C. By the investigator for the first time for a specific purpose

D. From government reports

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Correct Answer: Option C

Explanation:
Primary data is original data gathered directly by the researcher for the current study.

This question belongs to: Accountancy and Statistics Statistics

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