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)Both of the above
D)None of the above

Question

Quizplus · Accepted Answer

The Poisson distribution can be used to solve this problem as it deals with the number of events occurring in a fixed time interval when the events occur independently and at a constant rate. In this case, we have the average rate of arrival (λ) which is 3 cars in ten minutes. Using λ = (5/10) * 3 = 1.5 cars in a 5-minute interval, we can calculate the probability of exactly 4 cars arriving in 5 minutes using the Poisson distribution. The binomial distribution would be used if the problem involved a fixed number of trials with a binary outcome (e.g. success or failure).

Which of the Following Distributions Can Be Used to Solve