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The number of telephone calls that pass through a switchboard has a Poisson distribution with mean equal to 2
per minute.
What is the expected number of phone calls that pass through the switchboard in one minute?

Respuesta :

Using the Poisson distribution, it is found that the expected number of phone calls that pass through the switchboard in one minute is of 2.

What is the Poisson distribution?

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

[tex]P(X = x) = \frac{e^{-\mu}\mu^{x}}{(x)!}[/tex]

The parameters are:

  • x is the number of successes
  • e = 2.71828 is the Euler number
  • [tex]\mu[/tex] is the mean in the given interval.

In this problem, the mean is equals to 2 phone calls per minute, hence this is the expected number.

You can learn more about the Poisson distribution at https://brainly.com/question/13971530

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