Question:-
The average time between two arrivals of customers at a counter in a ready-made garment store is 4 min. the average time of the counter clerk to serve the customer is 3 min. The arrivals are distributed as per poison distribution and the services are as per the exponential distribution. The probability that a customer arriving at the counter will have to wait, is :
Option (A)
Zero
Option (B)
0.25
Option(C)
0.50
Option(D)
0.75
Correct Option:
(D)
Question Solution:
l = No of arrivals/hour = (60/4) = 15
m = No of customers serviced/hour = (60/3) = 20
Probability that customer will have to wait = (15/20) = 0.75
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