In which of the following scenarios is it reasonable to model X with a Poisson d
ID: 3048851 • Letter: I
Question
In which of the following scenarios is it reasonable to model X with a Poisson distribution?
The average number of cars that arrive each hour at Crystal's Car Wash on Saturdays is six. Let X = the number of cars that arrive in an hour.
A fair die is rolled until a six appears. Let X = the number of rolls of the die required.
A canning operation dispenses crushed tomatoes into 14.5-ounce cans. Let X = the volume of contents in the cans being filled.
A large university promotes the cultural diversity of its student population. It claims that 23% of its students come from outside the United States. Let X = the number of international students in an SRS of 100 students enrolled at the university.
Explanation / Answer
Solution:
The average number of cars that arrive each hour at Crystal's Car Wash on Saturdays is six. Let X = the number of cars that arrive in an hour.
Explanation:
If you believe the arrivals of cars follow a Poisson distribution, then you can work your problem as follows. Note, however, that if customers are aware of the closing time, many would likely not enter the car wash just before that time if they see a line. In other words, even if the distribution is Poisson