Question

Question 2: Calls to a technical support center arrive according to a Poisson process with rate 30 per hour. The time for a support person to serve one customer is exponentially distributed with a mean of 5 minutes. The support center has 3 technical staff to assist callers. What is the probability that a customer is able to immediately access a support staff, without being delayed on hold? (Assume that customers do not abandon their calls.)

          Question 2:
Calls to a technical support center arrive according to a Poisson
process with rate 30 per hour. The time for a support person to
serve one customer is exponentially distributed with a mean of 5
minutes. The support center has 3 technical staff to assist callers.
What is the probability that a customer is able to immediately
access a support staff, without being delayed on hold? (Assume
that customers do not abandon their calls.)

Question 2:
Calls to a technical support center arrive according to a Poisson
process with rate 30 per hour. The time for a support person to
serve one customer is exponentially distributed with a mean of 5
minutes. The support center has 3 technical staff to assist callers.
What is the probability that a customer is able to immediately
access a support staff, without being delayed on hold? (Assume
that customers do not abandon their calls.)

Added by Elizabeth T.

Computer Science and Information Technology

Trishna Knowledge Systems 2018 Edition

Instant Answer

Solved by Expert Christian Otero

Step 1

Since the arrival rate is given as 30 per hour, we need to convert it to minutes. There are 60 minutes in an hour, so the arrival rate is 30/60 = 0.5 calls per minute. Show more…

Show all steps

Thanks for your feedback!

Calls to a technical support center arrive according to a Poisson process with a rate of 30 per hour. The time for a support person to serve one customer is exponentially distributed with a mean of 5 minutes. The support center has 3 technical staff to assist callers. What is the probability that a customer is able to immediately access a support staff, without being delayed on hold? (Assume that customers do not abandon their calls.)