Question

An air freight terminal has five loading docks on the main concourse. Any aircraft which arrives when all docks are full is diverted to docks on the back concourse with slightly slower service time. The average aircraft arrival rate is 4 aircrafts per hour. The average service time (in the main concourse) per aircraft is 2.5 hours. The probability (to 4 decimal places) that an arriving aircraft has to be diverted to the back concourse is:

**Please provide detailed working and explanation. Answer copy and paste from other sources will be reported. Thanks!

Answer 1

Answer:

given data:

• The average aircraft arrival rate is 4 aircrafts per hour
• the average service time (in the main concourse) per aircraft is 2.5 hours.

here we need to find out the :

1. The probability (to 4 decimal places) that an arriving aircraft has to be diverted to the back concourse is

• now here we calculate the probablity is given by

The average service time/The average aircraft arrival rate

=1-2.5/4

=0.375

• now the finally  The probability (to 4 decimal places) that an arriving aircraft has to be diverted to the back concourse is:0.375