Look at the following link to the following table summarizing the radioactive decay counts of polonium recorded by Rutherford and Geiger (1910) representing the number of scintillations in 2608 1/8 minute intervals. For example, there were 57 frequencies of zero counts. The counts can be thought of as being approximately Poisson distributed.

1. Use the fact that for the Poisson distribution \( \mathbf{E}[X] = \lambda \) to estimate the rate parameter. This is using the methods of moments to estimate a parameter.
2. Maximize the likelihood to estimate \( \lambda\).