# Obtain the maximum likelihoob estimate of the average arrival rate

It is assumed that the arrival of the number of calls X per hour follows Poisson distribution with parameter $\lambda$. A random sample $X_1 \; = \; x_1$ , $X_2 \; = \; x_2$ , ... $X_n \; = \; x_n$ is taken . Obtain the maximum likelihood estimate of the average arrival rate.
It is assumed that the arrival of the number of calls X per hour follows Poisson distribution with parameter $\lambda$. A random sample $X_1 \; = \; x_1$ , $X_2 \; = \; x_2$ , ... $X_n \; = \; x_n$ is taken . Obtain the maximum likelihood estimate of the average arrival rate.