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CUET · MATHS · PYQ PAPER 2023

In a binomial distribution, the probability of getting success is \(1 / 4\) and standard deviation is 3 . Then it's mean is:

  1. A 6
  2. B 8
  3. C 12
  4. D 10
Verified Solution

Answer & Solution

Correct Answer

(C) 12

Step-by-step Solution

Detailed explanation

\(\sigma = \sqrt{np(1-p)}\) \(3 = \sqrt{n(1/4)(3/4)}\) \(9 = n(3/16)\) \(n = 9 \times 16 / 3 = 48\) \(\mu = np\) \(\mu = 48 \times (1/4) = 12\)