(Step-by-Step) From 1837 to 1932, the United States Supreme Court had 48 vacancies. The table below shows the number of years in which exactly k of the vacancies
Question:
From 1837 to 1932, the United States Supreme Court had 48 vacancies. The table below shows the number of years in which exactly k of the vacancies occurred (208). At the \[\alpha =0.01\] level of significance, test the hypothesis that these data can be described by a Poisson pdf.
| Number of Vacancies | Number of Years |
| 0 | 59 |
| 1 | 27 |
| 2 | 9 |
| 3 | 1 |
| 4+ | 0 |
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