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CUET · MATHS · PYQ PAPER 2023

If the mean of Binomial distribution is 5 and Variance is 3 then the value of \(p\) (probability of success) is :

  1. A \(\frac{1}{5}\)
  2. B \(\frac{2}{5}\)
  3. C \(\frac{3}{5}\)
  4. D \(\frac{4}{5}\)
Verified Solution

Answer & Solution

Correct Answer

(B) \(\frac{2}{5}\)

Step-by-step Solution

Detailed explanation

\( np = 5 \) \( np(1-p) = 3 \) \( 5(1-p) = 3 \) \( 1-p = \frac{3}{5} \) \( p = 1 - \frac{3}{5} = \frac{2}{5} \)
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