Students arrive at the Administrative Services Office at an average of one every $15$ minutes,

and their requests take on average $10$ minutes to be processed. The service counter is staffed by

only one clerk, Judy Gumshoes. Assume Poisson arrivals and exponential service times.

$($a$)$ How much time, on average, does a student spend waiting in line? $(4$ points$)$

Prepare for VUT calculation

a $($avg$.$ interarrival time$)$

s $($avg$.$ service

time$)$

m $($number of

servers$)$

u $($avg$.$

utilization$)$

CVa $($coef$.$ of

var.$-$ arrival$)$

CVs $($coef$.$ of

var.$-$ service$)$