Which of the following distributions can be used to solve the following problem?
The average number of cars arriving at a drive-thru fast food restaurant is 3 in ten minutes,what is the probability that exactly 4 cars will arrive in a five minute interval?
A)Binomial
B)Poisson
C)Hypergeometric
D)Normal
E)Uniform

Question

Quizplus · Accepted Answer

The problem involves a count of discrete events (number of cars arriving), and the average rate of arrivals (3 per 10 minutes), which suggests the Poisson distribution should be used. Additionally, we are interested in the probability of a specific number of arrivals (exactly 4 in 5 minutes), which is exactly what the Poisson distribution models. The other distributions listed are not appropriate for this problem.

Which of the Following Distributions Can Be Used to Solve