Suppose that the number of airplanes arriving at an airport per minute is a Poisson process. The mean number of airplanes arriving per minute is 3. The probability that exactly 6 planes arrive in the next minute is 0.05041.True / False.

And using the probability mass function we got:

So then we can conclude that the statement is True.

Step-by-step explanation:

Definitions and concepts

The Poisson process is useful when we want to analyze the probability of ocurrence of an event in a time specified. The probability distribution for a random variable X following the Poisson distribution is given by:

And the parameter represent the average ocurrence rate per unit of time.

Solution to the problem

For this case we want to find this probability:

And using the probability mass function we got:

So then we can conclude that the statement is True.

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step-by-step explanation: