Question

14. (20 pts) This data shows the number of healthcare worker injuries in a hospital over the last 24 months.

Month	Number of injuries
1	9
2	6
3	6
4	6
5	5
6	1
7	3
8	8
9	5
10	4
11	4
12	7
13	8
14	6
15	9
16	8
17	5
18	5
19	8
20	7
21	7
22	10
23	8
24	6

The mean is 6.292.

(a) Using Goodness-of-fit test for Poisson, test if the data follows the Poisson distribution and determine λ.

(b) Using the mean computed from (a), Compute the probability that there will be more than 7 injuries next year.

(c) Using the mean computed from (a), compute the probability that there will be 5 or fewer injuries next year

Answer 1

In table, Oij be the observed frequencies and Eij be the expected frequencies.