AP EAMCET · Maths · Probability
In a binomial distribution, the difference between the mean and standard deviation is 3 and the difference between their squares is 21 , then \(\mathrm{P}(x=1): \mathrm{P}(x=2)=\)
- A \(2: 1\)
- B \(1: 2\)
- C \(1: 3\)
- D \(3: 1\)
Answer & Solution
Correct Answer
(C) \(1: 3\)
Step-by-step Solution
Detailed explanation
\(\text { Mean }=n p\) Standard deviation \(=\sqrt{2 p(1-p)}\) According to question, \(n p-\sqrt{n p(1-p)}=3\) \(\begin{aligned} & \Rightarrow n p-3=\sqrt{n p(1-p)} \\ & \Rightarrow(n p-3)^2=n p(1-p) ....(i) \end{aligned}\) And,…
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