Which of the following distributions is appropriate to measure the length of time between arrivals at a grocery checkout counter?
A) Binomial
B) Normal
C) Exponential
D) Poisson
E) Hypergeometric

Question

Quizplus · Accepted Answer

The exponential distribution is appropriate to measure the length of time between arrivals at a grocery checkout counter because it models the time between two consecutive events in a Poisson process, which is suitable for modeling random occurrences over time. In this case, the arrivals at the checkout counter can be seen as a Poisson process, with customers arriving randomly over time. The exponential distribution is characterized by a single parameter, λ, which represents the rate at which events occur. The probability density function of the exponential distribution is f(x) = λe^(-λx), where x is the time between two events. Therefore, it is the best choice for modeling the length of time between arrivals at a grocery checkout counter.

Which of the Following Distributions Is Appropriate to Measure the Length