Customers arrive at a ticket counter at a rate of 50 per hour and tickets are issued in the order of their arrival. The average time taken for issuing a ticket is 1min. Assuming that customer arrivals form a Poisson process and service times are exponentially distributed, the average waiting time in queue in minutes is:
  • a)
    3
  • b)
    4
  • c)
    5
  • d)
    6
Correct answer is option 'C'. Can you explain this answer?

GATE Question

Bharat Kumar
Nov 29, 2019
Because average means no/2 =50/2=25 poission means x(t)^1/2 =√25=5

This discussion on Customers arrive at a ticket counter at a rate of 50 per hour and tickets areissued in the order of their arrival. The average time taken for issuing a ticket is1min. Assuming that customer arrivals form a Poisson process and service timesare exponentially distributed, the average waiting time in queue in minutes is:a)3b)4c)5d)6Correct answer is option 'C'. Can you explain this answer? is done on EduRev Study Group by GATE Students. The Questions and Answers of Customers arrive at a ticket counter at a rate of 50 per hour and tickets areissued in the order of their arrival. The average time taken for issuing a ticket is1min. Assuming that customer arrivals form a Poisson process and service timesare exponentially distributed, the average waiting time in queue in minutes is:a)3b)4c)5d)6Correct answer is option 'C'. Can you explain this answer? are solved by group of students and teacher of GATE, which is also the largest student community of GATE. If the answer is not available please wait for a while and a community member will probably answer this soon. You can study other questions, MCQs, videos and tests for GATE on EduRev and even discuss your questions like Customers arrive at a ticket counter at a rate of 50 per hour and tickets areissued in the order of their arrival. The average time taken for issuing a ticket is1min. Assuming that customer arrivals form a Poisson process and service timesare exponentially distributed, the average waiting time in queue in minutes is:a)3b)4c)5d)6Correct answer is option 'C'. Can you explain this answer? over here on EduRev! Apart from being the largest GATE community, EduRev has the largest solved Question bank for GATE.
This discussion on Customers arrive at a ticket counter at a rate of 50 per hour and tickets areissued in the order of their arrival. The average time taken for issuing a ticket is1min. Assuming that customer arrivals form a Poisson process and service timesare exponentially distributed, the average waiting time in queue in minutes is:a)3b)4c)5d)6Correct answer is option 'C'. Can you explain this answer? is done on EduRev Study Group by GATE Students. The Questions and Answers of Customers arrive at a ticket counter at a rate of 50 per hour and tickets areissued in the order of their arrival. The average time taken for issuing a ticket is1min. Assuming that customer arrivals form a Poisson process and service timesare exponentially distributed, the average waiting time in queue in minutes is:a)3b)4c)5d)6Correct answer is option 'C'. Can you explain this answer? are solved by group of students and teacher of GATE, which is also the largest student community of GATE. If the answer is not available please wait for a while and a community member will probably answer this soon. You can study other questions, MCQs, videos and tests for GATE on EduRev and even discuss your questions like Customers arrive at a ticket counter at a rate of 50 per hour and tickets areissued in the order of their arrival. The average time taken for issuing a ticket is1min. Assuming that customer arrivals form a Poisson process and service timesare exponentially distributed, the average waiting time in queue in minutes is:a)3b)4c)5d)6Correct answer is option 'C'. Can you explain this answer? over here on EduRev! Apart from being the largest GATE community, EduRev has the largest solved Question bank for GATE.