(a) Define Poisson distribution and find its mean and variance. (b) I…
Previous year question for Engineering Mathematics-III.
Question
(a) Define Poisson distribution and find its mean and variance.
(b) If X is a Poisson variate with mean $\lambda$, show that $\frac{x - \lambda}{\sqrt{\lambda}}$ is a variate with mean zero and variance unity. Find the moment generating function (m.g.f) for this variate and show that it approaches $e^{\frac{t^2}{2!}}$ as $\lambda \to \infty$.
- Year: 2022
- Subject: Engineering Mathematics-III