The arrival of customers at a service desk follows a Poisson distribution. If they arrive at a rate of two every five minutes, what is the probability that no customers arrive in a five-minute period?

13.53% probability that no customers arrive in a five-minute period

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.

They arrive at a rate of two every five minutes

This means that

What is the probability that no customers arrive in a five-minute period?

This is P(X = 0).

13.53% probability that no customers arrive in a five-minute period

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