In an examination, 60% candidates passed in English (A), 50% in Math (B), and 30% in both (AB). Are attributes A and B independent? MCQ with Answer and Explanation

In an examination, 60% candidates passed in English (A), 50% in Math (B), and 30% in both (AB). Are attributes A and B independent?
A. No, they are negatively associated
B. Yes, they are independent
C. No, they are positively associated
D. Data is inconsistent
Answer: Option B
Solution (By JKExamLibrary)
P(A) * P(B) = 0.6 * 0.5 = 0.3. Since P(AB) = 0.3, they are perfectly independent.

This question belongs to: Accountancy and Statistics Statistics

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Question #1 Report Error
Perinatal mortality rate per 1000 total births is 35. If there were 700 late fetal deaths and early neonatal deaths combined, the number of total births (live births + stillbirths) is:
A. 35,000
B. 24,500
C. 20,000
D. 2,000

Correct Answer: Option C


Explanation:
Rate = (perinatal deaths / total births) × 1000 => 35 = 700 / total births × 1000 => total births = 700,000/35 = 20,000.

This question belongs to: Accountancy and Statistics Statistics
Question #2 Report Error
The de facto census method may overcount:
A. Newborns not yet registered
B. Visitors and temporary residents present on census night
C. Usual residents who are temporarily absent
D. Elderly in institutions

Correct Answer: Option B


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De facto census counts people where found on census night, so tourists, migrant workers, or hospital patients may be counted away from their usual residence, potentially inflating counts in transient areas.

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Which of the following index numbers suffers from upward bias?
A. Fisher's Index
B. Kelly's Index
C. Laspeyres' Index
D. Paasche's Index

Correct Answer: Option C


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