Question

Match List-I with List-II:

• A. (A)-(IV), (B)-(II), (C)-(I), (D)-(III)
• B. (A)-(III), (B)-(IV), (C)-(I), (D)-(II)
• C. (A)-(I), (B)-(II), (C)-(III), (D)-(IV)
• D. (A)-(II), (B)-(IV), (C)-(I), (D)-(III)

Hint:

Remember \( q = 1-p \). Invariance check: SD is always the square root of Variance.

Answer 1

The Correct Option is B

Step 1: Understanding the Concept:
For \( B(n, p) \): Mean \( = np \), Variance \( = npq \), SD \( = \sqrt{npq} \) (where \( q = 1-p \)).

Step 2: Detailed Explanation:
(A) Mean = \( 10 \times 1/5 = 2 \). Matches (III).
(B) Variance = \( 12 \times 2/5 \times 3/5 = 72/25 = 2.88 \approx 3 \) (given approximations). Matches (IV).
(C) SD = \( \sqrt{16 \times 1/5 \times 4/5} = \sqrt{64/25} = 8/5 = 1.6 \). Matches (I).
(D) Mean = \( 25 \times 2/5 = 10 \). Matches (II).

Step 3: Final Answer:
Matching is (A)-(III), (B)-(IV), (C)-(I), (D)-(II).