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Answer:
The probability distribution of the number of customers that enter the store on a given day is:
Step-by-step explanation:
To calculate a parameter for the given day, we have to calculate what is the average arrival rate for the day.
This can be done with the data given:
1) From 10 to 12, 8 arrival/hour: 16 expected arrivals in this period
2) From 12 to 2, 8 to 12 arrival/hour (average: 10 arrivals): 20 expected arrivals in this period.
3) From 2 to 5, from 10 to 4 arrival/hour (average: 7 arrivals): 21 expected arrivals in this period.
The total expected arrivals in a day are: 16+20+21=57 arrivals/day.
Then, the probability distribution of the number of customers that enter the store on a given day is: