Count the number of cars that pass by an intersection during consecutive five-mi
ID: 3385834 • Letter: C
Question
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.
Explanation / Answer
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