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

0.37

Explanation:

we have given that emails arrives at the server at the rate of 10 per hour means
`(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* 0.166)=0.7166`