From 1837 to 1932, the U.S. Supreme Court had forty-eight vacancies. The table in the next column

Question:

From 1837 to 1932, the U.S. Supreme Court had forty-eight vacancies. The table in the next column shows the number of years in which exactly k of the vacancies occurred (185). At the α = 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