QUESTION 4 a) A Customer's Service Department has recorded the number of cars arriving at a car's service centre. The following data was collected: Number of cars per day Frequency of observation or equal 3 93

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QUESTION 4
a) A Customer's Service Department has recorded the number of cars arriving at a
car's service centre. The following data was collected:
Number of cars per day Frequency of observation
Less or equal 3
4
5
6
7
8
More or equal 9
93
42
35
19
6
3
2
i. Show that the estimated average number of cars arriving at car's service
centre is 4.1.
ii. Hence, test that a Poisson distribution is an appropriate probability dis-
tribution for the number of cars arriving at a car's service centre. Use
a = 0.05.
Transcribed Image Text:QUESTION 4 a) A Customer's Service Department has recorded the number of cars arriving at a car's service centre. The following data was collected: Number of cars per day Frequency of observation Less or equal 3 4 5 6 7 8 More or equal 9 93 42 35 19 6 3 2 i. Show that the estimated average number of cars arriving at car's service centre is 4.1. ii. Hence, test that a Poisson distribution is an appropriate probability dis- tribution for the number of cars arriving at a car's service centre. Use a = 0.05.
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