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Sharp Discounts Wholesale Club has two service desks with one server at each desk. There is one desk at each entrance o

Posted: Wed May 04, 2022 8:19 am
by answerhappygod
Sharp Discounts Wholesale Club has two service desks with one
server at each desk. There is one desk at each entrance of
the store. Customers arrive at each service desk at an
average of one every six
minutes following a Poisson distribution.
Customers arriving at a service desk stay at that service desk and
do not go to the other service desk for help. The average
service time at each service desk is 216 seconds per
customer following the exponential service
distribution.
A. How many customers, on average, are
waiting in line in front of each service desk?
16.67
0.9
0.734
10
B. How much total time does a customer spend
at the service desk either waiting for help or receiving
help?
15 minutes
9 minutes
7 minutes
10 minutes
C. Looking at only one of the service desks, what is the
probability that there is at least one customer waiting in line
when the next individual arrives at this service desk?
25%
75%
64%
36%
D.
Sharp is now considering consolidating its two service
desks into one location, staffed by two clerks. The clerks
will continue to work at the same individual speed of 216 seconds
per customer. How many customers, on average, are waiting in
line?
2
1.32
0.6748
0.5521