The number of customers coming to a store during regualr work hours has an average of 15 customers/hour and follows a Poisson process. A customer walks in what is the probability that the next customer will not arrice for 5 minutes?

28.65% probability that the next customer will not arrive for 5 minutes

Step-by-step explanation:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

In which

x is the number of sucesses

e = 2.71828 is the Euler number

is the mean in the given time interval.

Mean of 15 customers an hour:

An hour has 60 minutes, so in the space of 5 minutes, the mean is:

A customer walks in what is the probability that the next customer will not arrive for 5 minutes?

This is P(X = 0).

28.65% probability that the next customer will not arrive for 5 minutes

1/800 is the right answer