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The daily number of customers served by a coffee shop follows a Poisson distribution and has an expected value 0 on sunny days and 1

The daily number of customers served by a coffee shop follows a Poisson distribution and has an expected value 0 on sunny days and 1 > 0 on rainy days. Construct a likelihood ratio test for whether it is a rainy day based on the number of customers served (that is, describe the rejection criterion and give the critical value ).

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