An army monitored 10 cavalry corps for 20 years and recorded the number X of annual fatalities due to horse kicks for the 200 observations. The accompanying table shows the data. Complete parts (a) through (d).
(c) Use the mean number of deaths per year found in part (b) and the Poisson probability law to determine the theoretical proportion of years that 0 deaths should occur. Repeat this for 1, 2, 3, and 4 deaths. Complete the table below.
Number of deaths, x | P(x)
0
1
2
3
4
Deaths in the Army
Number of deaths, x | Number of times x deaths were observed
0 | 108
1 | 64
2 | 22
3 | 5
4 | 1
(Round to four decimal places as needed.)