Question

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?

Answer 1

Answer:

0.37

Step-by-step explanation:

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

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

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