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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

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The daily number of accidental disconnects with a server follows a Po.pdf

  • 1. 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