Answer to Question #272386 in Statistics and Probability for Pravallika

Question

government claims that the stubble burning in the near by states follows a poisson process with a mean of 20 per day a) Estimate the probability of no burning per day

Answer 1

Given,

Stubble burning per day $(\lambda)= 20$

Probability of no burning per day ?

$K=0$

So, the required probability$P(X=0)=\frac{e^{-\lambda}\times \lambda^k}{k!}$

Now, substituting the values,

$P(X=0)=\frac{e^{-20}\times 20^0}{0!}\\ \\ \Rightarrow P(X=0)=\frac{e^{-20}}{1} =e^{-20}$