The daily number of accidental disconnects with a server fol

The daily number of accidental disconnects with a server follows a Poisson distribution. On live days 2 5 3 3 7 accidental disconnects are observed. Obtain the maximum likelihood estimate of lambda. Find the maximum likelihood estimate of the probability that 3 or more accidental disconnects occur.

Solution

Average = 20/4 =5

Hence MLE of lemda = 5

P(X>=3) = 0.8753