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 4 cars will arrive in a five-minute interval?
A)Binomial
B)Poisson
C)Both of these
D)None of these

Question

Quizplus · Accepted Answer

This problem can be solved using the Poisson distribution, as it is used when determining the probability of a specific number of independent events occurring within a set interval. The problem provides an average rate of occurrence (3 cars in 10 minutes), which is necessary for Poisson distribution. Therefore, we can use the Poisson distribution to find the probability of exactly 4 cars arriving in a 5-minute interval. The binomial distribution is not appropriate because it requires a fixed number of trials, which is not provided in this problem.

Which of the Following Distributions Can Be Used to Solve