If P(A)=0.2 and P(B)=0.5, and A, B are independent, then P(A∩B) is: MCQ with Answer and Explanation

If P(A)=0.2 and P(B)=0.5, and A, B are independent, then P(A∩B) is:
A. 0.3
B. 0.7
C. 0.1
D. 0.6
Answer: Option C
Solution (By JKSSB Mock Tests)
0.2×0.5 = 0.1.

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Practice More Statistics Questions

Question #1
The geometric mean of two numbers a and b is 6, and their arithmetic mean is 10. The numbers are:
A. 4 and 16
B. 2 and 18
C. 3 and 17
D. 8 and 12

Correct Answer: Option B


Explanation:
a + b = 20 and ab = 36. Solving gives 2 and 18 (2 + 18 = 20, 2 × 18 = 36).

This question belongs to: Accountancy and Statistics Statistics
Question #2
Assertion (A): Harmonic mean is greater than geometric mean for positive numbers. Reason (R): For positive numbers, AM ≥ GM ≥ HM.
A. A is true, R is false
B. Both A and R true, but R is not correct explanation
C. Both A and R true, and R is correct explanation
D. A is false, R is true

Correct Answer: Option D


Explanation:
The correct inequality is AM ≥ GM ≥ HM, so HM ≤ GM, thus HM is not greater. So assertion false, reason true.

This question belongs to: Accountancy and Statistics Statistics
Question #3
For given data Σp₁q₀=480, Σp₀q₀=400, Σp₁q₁=600, Σp₀q₁=500. Fisher's index is:
A. 121.0
B. 122.5
C. 124.9
D. 120.0

Correct Answer: Option D


Explanation:
Laspeyres = 480/400×100=120; Paasche = 600/500×100=120; Fisher = √(120×120) = 120.

This question belongs to: Accountancy and Statistics Statistics