1
GATE ME 2002
+2
-0.6
Arrivals at a telephone booth are considered to be Poisson, with an average time of $$10$$ minutes between successive arrivals. The length of a phone call is distributed exponentially with mean $$3$$ minutes. The probability that an arrival does not have to wait before service is
A
$$0.3$$
B
$$0.5$$
C
$$0.7$$
D
$$0.9$$
2
GATE ME 2000
+2
-0.6
In a single server infinite population queuing model, arrivals follow a Poisson distribution with mean $$\lambda = 4$$ per hour. The service times are exponential with mean service time equal to $$12$$ minutes. The expected length of the queue will be
A
$$4$$
B
$$3.2$$
C
$$1.25$$
D
$$24.3$$
3
GATE ME 1999
+2
-0.6
At a production machine, parts arrive according to a Poisson process at the rate of $$0.35$$ parts per minute. Processing time for parts have exponential distribution with mean of $$2$$ minutes. What is the probability that a random part arrival finds that there are already $$8$$ parts in the system (in machine $$+$$ in queue)?
A
$$0.0247$$
B
$$0.0576$$
C
$$0.0173$$
D
$$0.082$$
4
GATE ME 1995
Subjective
+2
-0
On the average $$100$$ customers arrive at a place each hour, and on the average the server can process $$120$$ customers per hour. What is the proportion of time the server is idle?
GATE ME Subjects
EXAM MAP
Medical
NEET