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If the binomial distribution X~ B(n, p) of mean 3 and variance 3 2, (p + q) = 1, then which of the following is/are TRUE? (A) q = 1 2, n = 6 (B) P(X…

CUET UG 2025 — Mathematics Algebra

2025mcqmedium

If the binomial distribution X∼B(n,p)X\sim B(n, p)X∼B(n,p) of mean 3 and variance 32\frac{3}{2}23​, (p+q)=1(p + q) = 1(p+q)=1, then which of the following is/are TRUE?

(A) q=12q = \frac{1}{2}q=21​, n=6n = 6n=6

(B) P(X≤5)=6364P(X \leq 5) = \frac{63}{64}P(X≤5)=6463​, p=12p = \frac{1}{2}p=21​

(C) q=13q = \frac{1}{3}q=31​, p=23p = \frac{2}{3}p=32​

(D) P(X=4)=1564P(X = 4) = \frac{15}{64}P(X=4)=6415​, n=6n = 6n=6

Choose the correct answer from the options given below:

Official previous-year question

Held on 29 May 2025 · Verified 13 Jul 2026.

Options

  1. A

    (A) and (B) only

  2. B

    (A), (C) and (D) only

  3. C

    (A), (B) and (D) only

  4. D

    (C) and (D) only

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