Which of the following distributions can be used to solve the following problem? The average number of cars arriving at a drive-through fast-food restaurant is three in 10 minutes.What is the probability that exactly four cars will arrive in a 5-minute interval?
A) binomial
B) Poisson
C) both binomial and Poisson
D) neither binomial nor Poisson

Question

Quizplus · Accepted Answer

The problem involves the average arrival rate of events (cars) in a certain time interval (10 minutes) and asks for the probability of a certain number of events (4 cars) arriving in a shorter time interval (5 minutes). This is characteristic of a Poisson distribution, which models the number of rare events occurring in a fixed interval of time. The binomial distribution, on the other hand, models the number of successes in a fixed number of independent trials, which is not the case here as the arrival of each car is not independent of the others. Therefore, choice B is the best option.

Which of the Following Distributions Can Be Used to Solve