Auto vehicles arrive at a petrol pump with one petrol unit in Poisson fashion, averaging 10 units per hour. The service time is distributed exponentially with a mean of 3 minutes. Find the following:a) Average number of units in the systemb) Average waiting time for customersc) The average length of the queued) The probability that a customer arriving at the pump will have to wait.e) The utilization factor for the petrol pumpf) The probability that the number of customers in the system is 2.

Auto vehicles arrive at a petrol pump with one petrol unit in Poisson fashion, averaging 10 units per hour. The service time is distributed exponentially with a mean of 3 minutes. Find the following:a) Average number of units in the systemb) Average waiting time for customersc) The average length of the queued) The probability that a customer arriving at the pump will have to wait.e) The utilization factor for the petrol pumpf) The probability that the number of customers in the system is 2.

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Need only handwritten solution only (not typed one).