During the latter part of the nineteenth century, Prussian officials gathered information relating to the hazards that horses posed to cavalry soldiers. A total of ten cavalry corps were monitored over a period of twenty years. Recorded for each year and each corps was X, the annual number of fatalities due to kicks. Summarized in the following table are the two hundred values recorded for X(12). Show that these data can be modeled by a Poisson pdf. Follow the procedure illustrated in Case Studies 4.2.2 and 4.2.3.

Observed Number of Corps-Years

                No. of Deaths, k                    in Which k Fatalities Occurred

0……………………………….         109

1………….…………………….          65

2…………….………………….          22

3…………...…………………….          3

4……………...………………….          1

………………...…………………        200