CUET · MATHS · PYQ PAPER 2025
If the difference between mean and variance of a Binomial distribution is 1 and the difference of their squares is 5 , then the probability of success is
- A \(\frac{2}{3}\)
- B \(\frac{1}{3}\)
- C \(\frac{2}{5}\)
- D \(\frac{3}{5}\)
Answer & Solution
Correct Answer
(B) \(\frac{1}{3}\)
Step-by-step Solution
Detailed explanation
\(M - V = 1\) \(M^2 - V^2 = 5\) \(M^2 - V^2 = (M - V)(M + V)\) \(5 = (1)(M + V) \implies M + V = 5\) \(2M = (M - V) + (M + V) = 1 + 5 = 6 \implies M = 3\) \(V = M - 1 = 3 - 1 = 2\) \(q = V/M = 2/3\) \(p = 1 - q = 1 - 2/3 = 1/3\)
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