For two attributes A and B, independence (no association) implies: MCQ with Answer and Explanation

For two attributes A and B, independence (no association) implies:
A. (AB) = 0
B. (AB)/N = (A)/N × (B)/N
C. (AB) = (A) + (B)
D. (AB) = (A)(B)/N²
Answer: Option B
Solution (By JKSSB Mock Tests)
Independence means the proportion of items with both attributes equals the product of the individual proportions.

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Practice More Statistics Questions

Question #1
If P(A)=0.6, P(B)=0.5, and P(A∩B)=0.3, then P(A'|B) is:
A. 0.6
B. 0.5
C. 0.4
D. 0.2

Correct Answer: Option C


Explanation:
P(A'|B) = 1 - P(A|B). P(A|B) = 0.3/0.5 = 0.6. So P(A'|B)=0.4.

This question belongs to: Accountancy and Statistics Statistics
Question #2
A bag contains 3 red, 5 black balls. Two balls are drawn at random. The probability that they are of different colors is:
A. 15/56
B. 1/2
C. 15/28
D. 3/8

Correct Answer: Option C


Explanation:
Total ways C(8,2)=28. 1 red 1 black = 3×5=15. Probability=15/28.

This question belongs to: Accountancy and Statistics Statistics
Question #3
Standardized death rate by direct method is computed as:
A. Crude death rate of standard population
B. Σ (M_x × p_x) where M_x are standard rates
C. Σ (m_x × P_sx) / Σ P_sx, where m_x are age-specific death rates of study population and P_sx are standard population age distribution
D. Simple average of age-specific rates

Correct Answer: Option C


Explanation:
Direct standardization applies observed rates to a standard population structure.

This question belongs to: Accountancy and Statistics Statistics