Count the number of cars that pass by an intersection during

Count the number of cars that pass by an intersection during consecutive five-minute periods on a highway leading into a city. Would these data allow us to use the law of large numbers eventually to learn P(more than 50 cars in five minutes)?

A. Yes, because the data do not have a pattern.

B. Yes, because after enough outcomes are recorded, the relative frequency of the number of cars will converge to a number.

C. No, because the time intervals are not large enough.

D. No, because the intensity of traffic would change over the time of day and the day of the week.

Solution

B. Yes, because after enough outcomes are recorded, the relative frequency of the number of cars will converge to a number.

After counting for a large sample we may observe that the relative frequency for fixed times will converge to a number called limit.

That would be the probability