A university is planning to teach classes via distance-education. The university has one technical assistant who can help faculty members who experience technical difficulties. At any given time, there are 100 distance-education classes being taught, and each class has approximately a 6% chance of having a technical problem at some point during the class (assume that all classes are 1.5 hours in duration). i. What is the approximate average rate that technical problems occur? ii. Assume that technical problems occur according to a Poisson process with a rate given by your answer in part (1). Service times to fix a problem are exponentially distributed with a mean of 12 minutes. If the professor is broadcasting his lecture via distance-education tools and a technical problem occurs, what is the average amount of lost class time?

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A university is planning to teach classes via distance-education. The university has one
technical assistant who can help faculty members who experience technical difficulties. At
any given time, there are 100 distance-education classes being taught, and each class has
approximately a 6% chance of having a technical problem at some point during the class
(assume that all classes are 1.5 hours in duration).
i. What is the approximate average rate that technical problems occur?
ii. Assume that technical problems occur according to a Poisson process with a rate
given by your answer in part (i). Service times to fix a problem are exponentially
distributed with a mean of 12 minutes. If the professor is broadcasting his lecture via
distance-education tools and a technical problem occurs, what is the average amount
of lost class time?
Transcribed Image Text:A university is planning to teach classes via distance-education. The university has one technical assistant who can help faculty members who experience technical difficulties. At any given time, there are 100 distance-education classes being taught, and each class has approximately a 6% chance of having a technical problem at some point during the class (assume that all classes are 1.5 hours in duration). i. What is the approximate average rate that technical problems occur? ii. Assume that technical problems occur according to a Poisson process with a rate given by your answer in part (i). Service times to fix a problem are exponentially distributed with a mean of 12 minutes. If the professor is broadcasting his lecture via distance-education tools and a technical problem occurs, what is the average amount of lost class time?
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