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FMIS 3301 QUIZ 4
1.
A single vending machine serves incoming customers.
The time between arrivals (T
a
) is 2
minutes with standard deviation of 4 minutes, and the machine can process 120 transactions per
hour at a constant rate.
What is the mean time in seconds that a customer spends in the queue?
* a.
20
b. 50
c. 80
d.
0.333
e. 12
T
p
= 30s
R
a
= 30/hr
U=30/120 = 0.25 T
w
= 30*(0.25/0.75)*(2) = 20s
2.
What would be the mean time in the queue if the single machine is replaced with two machines
which can process 60/hour each?
a.
0.18 hours
*b. 11 sec
c. 3 min
d.
71 sec
e. 1 min.
T
p
= 60s
R
a
= 30/hr
U=30/120 = 0.25 T
w
= 30*(0.25
1.449
/0.75)*(2) = 30*0.179*2=10.7s
3.
At a process, the average processing time is 35 seconds, with a standard deviation of 14 seconds.
What is the coefficient of variation of processing time?
a.
0.67
b. 2.5
c.
0.16
*d.
0.4
(14/35)
e. Not enough data
4.
OnCall Music receives orders by: 1 mail, 2telephone, 3internet site, and 4 email.
The hourly
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 Fall '09
 Lievano

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