(a) Use the data to compute the sample mean number of accidents recorded per area. (b) Suppose the data in Table 1 follows a Poisson distribution. Calculate the theoretical Poisson(A = 3) probabilities for integers in the range 0 to 9 inclusive.

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Chapter1: Combinatorial Analysis
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The numbers of accidents which occur on an assembly line each week over a
2 year period are summarised in Table 1.
Table 1:
Number of accidents,
0
1
2
34567
HNSKNIN
Frequency
1
8
14
21
36
18
9
2
1
2
(a) Use the data to compute the sample mean number of accidents recorded
per area.
(b) Suppose the data in Table 1 follows a Poisson distribution. Calculate the
theoretical Poisson (A = 3) probabilities for integers in the range 0 to 9
inclusive.
Transcribed Image Text:The numbers of accidents which occur on an assembly line each week over a 2 year period are summarised in Table 1. Table 1: Number of accidents, 0 1 2 34567 HNSKNIN Frequency 1 8 14 21 36 18 9 2 1 2 (a) Use the data to compute the sample mean number of accidents recorded per area. (b) Suppose the data in Table 1 follows a Poisson distribution. Calculate the theoretical Poisson (A = 3) probabilities for integers in the range 0 to 9 inclusive.
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