Question

If $\overline{x}$ and ${\sigma }^2$ are mean and variance of poisson distribution, then

• A. $\overline{x}>{\sigma }^2$
• B. $\overline{x}<{\sigma }^2$
• C. $\overline{x}={\sigma }^2$
• D. $\overline{x}+{\sigma }^2=1$

Answer 1

Answer: (C)

$\overline{x}={\sigma }^2$

For a Poisson distribution, mean ($\mu$) and variance (${\sigma }^2$ )are equal .
i.e.$\mu ={\sigma }^2$