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 23456780 3 5 6 8 Frequency 1 HNSKO2I2 14 21 36 18 9 1 (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.
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 23456780 3 5 6 8 Frequency 1 HNSKO2I2 14 21 36 18 9 1 (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.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section: Chapter Questions
Problem 25SGR
Related questions
Question
![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, 2
0
1
2
3
4
5
6
8
Frequency
1
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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F55521067-0384-497f-95f8-f51a06d5dbdf%2F28d084ae-991c-45fb-8d23-02ce9af5f5d9%2Fwrxlt68_processed.png&w=3840&q=75)
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, 2
0
1
2
3
4
5
6
8
Frequency
1
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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Follow-up Questions
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Follow-up Question
![(c) Does this Poisson distribution provide a good model for the number of
accidents in this example (as per Table 1)? Explain why or why not. Use
R to produce a graph to help support your answer (produce the R as part
of your answer).
[
(d) Use the model in (b) to estimate the probability that less than 2 accidents
were recorded in any randomly chosen week. How does this compare to
the actual data?](https://content.bartleby.com/qna-images/question/55521067-0384-497f-95f8-f51a06d5dbdf/7036cccc-e03c-44b4-8aa1-c34d104e9133/a5d9iwy_thumbnail.png)
Transcribed Image Text:(c) Does this Poisson distribution provide a good model for the number of
accidents in this example (as per Table 1)? Explain why or why not. Use
R to produce a graph to help support your answer (produce the R as part
of your answer).
[
(d) Use the model in (b) to estimate the probability that less than 2 accidents
were recorded in any randomly chosen week. How does this compare to
the actual data?
Solution
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