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The number of medical emergency calls per hour has a Poisson distribution with parameter λ. A...

The number of medical emergency calls per hour has a Poisson distribution with parameter λ. A time record of emergency calls is available for a sufficient amount of time and parameter λ is assumed to be the same through out the available recording of calls and sufficiently large.

Determine an unbiased estimator of    λ2 and estimate its efficiency.

If λ = 2, what is the probability of at least 16 emergency calls in the 5 consecutive hours of a single medical response team shift.

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