On the average,1.8 customers per minute arrive at any one of the checkout counters of a grocery store.What type of probability distribution can be used to find out the probability that there will be no customer arriving at a checkout counter?
A)binomial distribution.
B)Poisson distribution.
C)hypergeometric distribution.
D)none of the above.

Question

Quizplus · Accepted Answer

The Poisson distribution is used to model the probability of a certain number of events occurring in a fixed interval of time or space, given a known average rate of occurrence. In this case, the arrival of customers at the checkout counter of the grocery store follows a Poisson distribution since the rate of arrival is known (1.8 customers per minute) and the number of arrivals in a given interval of time (e.g. a minute) can vary. The probability of no customer arriving at a checkout counter can be found using the Poisson distribution with a mean of λ = 1.8 and a value of x = 0, where x represents the number of events (in this case, customers arriving) that we want to find the probability of.

On the Average,1