You are given the following information:
Calculate the probability that you will have to wait more than 10 minutes for a ride to work.
---
Why is it that we have to look at the Poisson process with intensity 5 + 10 = 15 for this problem? A proof would be preferable, but I would really like a direct explanation motivating the sum of the intensities.
- Buses arrive according to a Poisson process at a rate of 5 per hour.
- Taxis arrive according to a Poisson process at a rate of 10 per hour.
- The arrival of buses and taxis are independent.
- You get a ride to work from either a bus or a taxi, whichever arrives first.
Calculate the probability that you will have to wait more than 10 minutes for a ride to work.
---
Why is it that we have to look at the Poisson process with intensity 5 + 10 = 15 for this problem? A proof would be preferable, but I would really like a direct explanation motivating the sum of the intensities.
ST 5/14, Q. 2
0 commentaires:
Enregistrer un commentaire