Question:-
At a self-service store, a cashier can serve 10 customers in 5 minutes. On an average 15 customers arrive every 10 minutes. If the arrivals are as per Poisson distribution and services as per exponential distribution, the probability that the cashier would be idle is
Option (A)
0.5
Option (B)
0.75
Option(C)
0.25
Option(D)
0
Correct Option:
(C)
Question Solution:
l = (15/10) x 60 = 90
m = (10/5) x 60 = 120
Probability the cashier will be busy = (90/120) = 0.75
Probability the cashier will be idle = 1 – 0.75 = 0.25
question-answer-faq-8816