TS EAMCET · Maths · Probability
In a poisson distribution, If P (X) = 2 is twice P (X), = 1 then the standard deviation of the distribution is
- A 1
- B 2
- C 4
- D 8
Answer & Solution
Correct Answer
(B) 2
Step-by-step Solution
Detailed explanation
\begin{aligned} & \text { } P(x=2)=2 P(x=1) \\ & P(X=x)=\frac{e^{-\lambda} \cdot \lambda^x}{x !} \Rightarrow \frac{e^{-x} \cdot \lambda^2}{2 !}=2 \times \frac{e^{-x} \cdot \lambda^1}{1 !} \\ & \Rightarrow \quad \frac{\lambda}{2}=2 \Rightarrow \lambda=4 \\ & \because \quad \mu=n…
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