TS EAMCET · Maths · Probability
If \(\mathrm{X} \sim B(6, p)\) is a binomial variate and \(\frac{\mathrm{P}(\mathrm{X}=4)}{\mathrm{P}(\mathrm{X}=2)}=\frac{1}{9}\), then \(p=\)
- A \(\frac{1}{2}\)
- B \(\frac{1}{9}\)
- C \(\frac{1}{3}\)
- D \(\frac{1}{4}\)
Answer & Solution
Correct Answer
(D) \(\frac{1}{4}\)
Step-by-step Solution
Detailed explanation
\(\mathrm{X} \sim \mathcal{B}(\sigma, p)\) is binomial variate \(\Rightarrow n=6 ; \mathbb{P}(\mathbb{X}=x)={ }^6 \mathrm{C}_x p^x q^{6-x}\)…
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