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Emails arrive at the server of a company at the rate of an average of 10 per hour. It is assumed that a Poisson process is a good model for the arrivals of the emails. What is the probability (to 2 decimal places) that the time between two consecutive emails is more than two minutes?

Respuesta :

Answer:

0.37

Step-by-step explanation:

we have given that emails arrives at the server at the rate of 10 per hour means [tex]\frac{10}{60}=0.166[/tex]  per minute

we have to find the probability that the time difference between the two email is more than 2 minute

so probability [tex]P\left ( X> 2 \right )=e^{-2\lambda }=e^{-2\times 0.166}=0.7166[/tex]

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