In a large county, suppose there is an average of 8 deaths per year due to lung cancer. Suppose we observe 3 deaths. Would you consider this an unusually low number? Calculate a probability to justify your answer.

We use Poisson distribution

P(x<=3 | lambda=8) = 0.04238

P(x=3 |lambda =8)=0.0286

These probablities are quite small say less than 0.05

It can be construed that it is unusually a low number

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