• We are pleased to announce that the winner of our Feedback Prize Draw for the Winter 2024-25 session and winning £150 of gift vouchers is Zhao Liang Tay. Congratulations to Zhao Liang. If you fancy winning £150 worth of gift vouchers (from a major UK store) for the Summer 2025 exam sitting for just a few minutes of your time throughout the session, please see our website at https://www.acted.co.uk/further-info.html?pat=feedback#feedback-prize for more information on how you can make sure your name is included in the draw at the end of the session.
  • Please be advised that the SP1, SP5 and SP7 X1 deadline is the 14th July and not the 17th June as first stated. Please accept out apologies for any confusion caused.

Poisson Process application

H

Hemal

Member
Hi,

Please help me with the question of Poisson process below:

In a railway station, passenger cab wait until they have either acquired four passengers or a period of ten minutes has passed since the first passenger stepped into the cab. Passengers arrive according to a Poisson process with an average of one passenger every three minutes.

(a) You are the first passenger to get into a cab. What is the probability that you will have to wait ten minutes.
(b) You are the first passenger to get into a cab and you have been waiting there for five minutes. At this stage two other passengers have entered the cab. What is the probability that you will have to wait another five minutes before the cab gets underway?


Hemal
 
Last edited by a moderator:
Back
Top