A service facility has Poisson arrival rate and negative Exponential service rate on a first-come-first server basis queue. Average requests for service are 5 per day and the rate at which service is provided is 7 per day. Find the probability for exactly 3 machines in the system.a)0.5268b)1.0235c)0.1041d)1.00025Correct answer is option 'C'. Can you explain this answer?

Explore Courses UPSC Exam UPSC Test Series Free Notes EduRev Infinity

Open App

GATE Exam > GATE Questions > A service facility has Poisson arrival rate ...

Join the Discussion on the App

A service facility has Poisson arrival rate and negative Exponential service rate on a first-come-first server basis queue. Average requests for service are 5 per day and the rate at which service is provided is 7 per day. Find the probability for exactly 3 machines in the system.

a)
0.5268
b)
1.0235
c)
0.1041
d)
1.00025

Correct answer is option 'C'. Can you explain this answer?

FREE This question is part of

Practice Test: Mechanical Engineering (ME)- 16

Attempt Test

Attempt this Test

Verified Answer

A service facility has Poisson arrival rate and negative Exponential ...

Given,

λ=5/ day

μ=7/ day

n=3

ρn=(1−ρ)ⁿ

(for exactly 3 machines in the system)

∴ρ₃=(1−ρ)ρ³

ρ₃ = 0.1041

View all questions of this test

View all answers Start learning for free

< Previous Question Next Question >

Explore Courses for GATE exam

Similar GATE Doubts

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 min. What is the probability that a random part arrival ﬁnds that there are already 8 parts in the system (in machine + in queu e)? Correct answer is '0.0173'. Can you explain this answer?

View answer

For exchanging notes in a bank 50 customers arrive in 60 min which follows Poisson's distribution and service time follows exponential distribution. Due to lack of notes there is a single window for exchange and serves as a first come first serve basis. Probability of more than 20 customers in the system is 0.3 then, how much mean time is required for exchanging notes for a customer on the counter?

View answer

The average service rate at a Service Centre is 8 customer/hr, which varies exponentially. Customers arrive at random order with an average of 6 customer/hr. The probability of at least 3 customers in the system is____ Correct answer is between '0.41,0.43'. Can you explain this answer?

View answer

A disk drive has 100 cylinders, numbered 0 to 99. Disk requests come to the disk driver for cylinders 12, 26, 24, 4, 42, 8 and 50 in that order. The driver is currently serving a request at a cylinder 24. A seek takes 6 msec per cylinder moved. How much seek time is needed for shortest seek time first (SSTF) algorithm? Correct answer is '0.42'. Can you explain this answer?

View answer

Suppose a disk has 201 cylinders, numbered from 0 to 200. At some time the disk arm is at cylinder100, and there is a queue of disk access requests for cylinders 30, 85, 90, 100, 105, 110, 135 and145. If Shortest-Seek Time First (SSTF) is being used for scheduling the disk access, the request forcylinder 90 is serviced after servicing ____________ number of requests. Correct answer is '3'. Can you explain this answer?

View answer

Share with a Friend

Answer this doubt

Question Description
A service facility has Poisson arrival rate and negative Exponential service rate on a first-come-first server basis queue. Average requests for service are 5 per day and the rate at which service is provided is 7 per day. Find the probability for exactly 3 machines in the system.a)0.5268b)1.0235c)0.1041d)1.00025Correct answer is option 'C'. Can you explain this answer? for GATE 2024 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about A service facility has Poisson arrival rate and negative Exponential service rate on a first-come-first server basis queue. Average requests for service are 5 per day and the rate at which service is provided is 7 per day. Find the probability for exactly 3 machines in the system.a)0.5268b)1.0235c)0.1041d)1.00025Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A service facility has Poisson arrival rate and negative Exponential service rate on a first-come-first server basis queue. Average requests for service are 5 per day and the rate at which service is provided is 7 per day. Find the probability for exactly 3 machines in the system.a)0.5268b)1.0235c)0.1041d)1.00025Correct answer is option 'C'. Can you explain this answer?.

Solutions for A service facility has Poisson arrival rate and negative Exponential service rate on a first-come-first server basis queue. Average requests for service are 5 per day and the rate at which service is provided is 7 per day. Find the probability for exactly 3 machines in the system.a)0.5268b)1.0235c)0.1041d)1.00025Correct answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for GATE. Download more important topics, notes, lectures and mock test series for GATE Exam by signing up for free.

Here you can find the meaning of A service facility has Poisson arrival rate and negative Exponential service rate on a first-come-first server basis queue. Average requests for service are 5 per day and the rate at which service is provided is 7 per day. Find the probability for exactly 3 machines in the system.a)0.5268b)1.0235c)0.1041d)1.00025Correct answer is option 'C'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of A service facility has Poisson arrival rate and negative Exponential service rate on a first-come-first server basis queue. Average requests for service are 5 per day and the rate at which service is provided is 7 per day. Find the probability for exactly 3 machines in the system.a)0.5268b)1.0235c)0.1041d)1.00025Correct answer is option 'C'. Can you explain this answer?, a detailed solution for A service facility has Poisson arrival rate and negative Exponential service rate on a first-come-first server basis queue. Average requests for service are 5 per day and the rate at which service is provided is 7 per day. Find the probability for exactly 3 machines in the system.a)0.5268b)1.0235c)0.1041d)1.00025Correct answer is option 'C'. Can you explain this answer? has been provided alongside types of A service facility has Poisson arrival rate and negative Exponential service rate on a first-come-first server basis queue. Average requests for service are 5 per day and the rate at which service is provided is 7 per day. Find the probability for exactly 3 machines in the system.a)0.5268b)1.0235c)0.1041d)1.00025Correct answer is option 'C'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice A service facility has Poisson arrival rate and negative Exponential service rate on a first-come-first server basis queue. Average requests for service are 5 per day and the rate at which service is provided is 7 per day. Find the probability for exactly 3 machines in the system.a)0.5268b)1.0235c)0.1041d)1.00025Correct answer is option 'C'. Can you explain this answer? tests, examples and also practice GATE tests.

Explore Courses for GATE exam