MHT CET · Maths · Probability
If a random variable \(X\) follows the Binomial distribution \(B(10, p)\) such that \(5 P(X=0)=P(X=1)\), then the value of \(\frac{P(X=5)}{P(X=6)}\) is equal to
- A \(\frac{6}{5}\)
- B \(\frac{2}{5}\)
- C \(\frac{12}{5}\)
- D \(\frac{1}{5}\)
Answer & Solution
Correct Answer
(C) \(\frac{12}{5}\)
Step-by-step Solution
Detailed explanation
\(5 P(X=0) = P(X=1)\) \(5 \binom{10}{0} p^0 (1-p)^{10} = \binom{10}{1} p^1 (1-p)^9\)
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