MHT CET · Maths · Probability
If a random variable \(X\) follows the Binomial distribution \(B(33, p)\) such that \(3 P(X=0)=P(X=1)\), then the variance of \(X\) is
- A \(\frac{11}{144}\)
- B \(\frac{35}{48}\)
- C \(\frac{121}{48}\)
- D \(\frac{33}{144}\)
Answer & Solution
Correct Answer
(C) \(\frac{121}{48}\)
Step-by-step Solution
Detailed explanation
\(P(X=0) = \binom{33}{0}p^0(1-p)^{33} = (1-p)^{33}\) \(P(X=1) = \binom{33}{1}p^1(1-p)^{32} = 33p(1-p)^{32}\)
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