Question: If X is Poisson distributed, i.e., X Poisson(), its probability mass function takes the following form: fShow that the sample mean )1 2 i235 Xi

If X is Poisson distributed, i.e., X Poisson(), its probability massfunction takes the following form: \fShow that the sample mean )1 2

If X is Poisson distributed, i.e., X Poisson(), its probability mass function takes the following form:

i235 Xi is the maximum likelihood estimate (MLE) of A and itis unbiased A (E()\\) : A). [TOTAL: 10 points]

\fShow that the sample mean )1 2 i235 Xi is the maximum likelihood estimate (MLE) of A and it is unbiased A (E()\\) : A). [TOTAL: 10 points]

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