Arizona State University - SCM 300

Question1)What is the probability there are exactly 2 customers in line in a two-server model?

b. 0.009

c. 0.021

d. 0.145

e. 0.122

f. 0.126

g. 0.104

h. 0.009

i. 0.001

j. 0.202

 

Question 2

 

What is the probability there are fewer than 2 customers in the system in a two server model?

b. 0.889

c. 0.834

d. 0.626

e. 0.963

f. 0.111

g. 0.809

h. 0.374

i. 0.191

j. 0.281

 

 

Question 3

 

Using these givens to answer the question that follows: Arrival rate: 0.349 calls per minute, Service rate: 0.411 calls per minute. In a single-server model what is the average number of customers in the line?

a. 47.4

b. 38.235

c. 4.78

d. 3.76

e. 10.0

f. 5.26

g. 22.75

h. 33.17

i. 18.678

j. 13.33

 

 

Question 4

 

What is the probability there are more than three customers in the system in a two-server model?

b. 0.979

c. 0.044

d. 0.956

e. 0.019

f. 0.191

g. 0.234

h. 0.156

i. 0.744

j. 0.025

 

Question 5

 

What is the probability there is more than one in line in a one-server model?

b. 0.789

c. 0.517

d. 0.483

e. 0.145

f. 0.249

g. 0.268

h. 0.075

i. 0.347

j. 0.372

 

Question 6

 

What is the probability of being served immediately in a three-server model?

b. 0.24

c. 0.485

d. 0.515

e. 0.834

f. 0.960

g. 0.126

h. 0.874

i. 0.970

j. 0.719

 

Question 7

 

What percentage of the time is the server busy in a two-server model?

b. 0.360

c. 0.240

d. 0.470

e. 0.339

f. 0.202

g. 0.145

h. 0.349

i. 0.485

j. 0.830

Question 8

 

On average, how much time does a customer spend in line in a single-server model?

18.182 minutes

5.86 minutes

0.76 minutes

5.18 minutes

0.08 minutes

17.252 minutes

5.76 minutes

13.08 minutes

3.426 minutes

12.099 minutes

 

Question 9

 

On average, how many customers are on hold in a two-server model?

a. 0.11

b. 2.56

c. 1.84

d. 0.83

e. 0 .73

f. 0.01

g. 0.47

h. 0.339

i. 0.122

j. 0.044

Question 10

 

How many employees are required to meet the account management department’s goal?

0

1

2

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4

5

6

7

8

9

 

Question 11

 

Using these givens to answer the question that follows: Arrival rate: 0.083 calls per minute, Service rate: 0.140 calls per minute. In a single-server model what % of time is the server busy?

b. 0.402

c. 0.375

d. 0.593

e. 0.125

f. 0.080

g. 0.954

h. 0.305

i. 0.265

j. 0.749

 

Question 12

 

Using these givens to answer the question that follows: Arrival rate: 4.5 calls per minute, Service rate: 6.7 calls per minute. In a single-server model what is the time in line (Minutes)?

b. 0.402

c. 0.375

d. 0.593

e. 0.125

f. 0.080

g. 0.954

h. 0.305

i. 0.265

j. 0.749

 

Question 13

 

Using these givens to answer the question that follows: Arrival rate: 2.4 calls per minute, Service rate: 2.5 calls per minute. In a single-server model what is the time in the system (Minutes)?

b. 38.235

c. 4.78

d. 3.76

e. 10.0

f. 5.26

g. 22.75

h. 33.17

i. 18.678

j. 13.33

 

 

 

Question 14

.

Using these givens to answer the question that follows: Arrival rate: 4.0 calls per minute, Service rate: 4.3 calls per minute. In a single-server model what is the average number of customers in the system?

b. 38.235

c. 4.78

d. 3.76

e. 10.0

f. 5.26

g. 22.75

h. 33.17

i. 18.678

j. 13.33

 

 

Question 15

 

Using these givens to answer the question that follows: Arrival rate: 5.2 calls per minute, Service rate: 6.05 calls per minute. In a single-server model what is the average number of customers in the line?

b. 38.235

c. 4.78

d. 3.76

e. 10.0

f. 5.26

g. 22.75

h. 33.17

i. 18.678

j. 13.33

 

Question 16

 

Using these givens to answer the question that follows: Arrival rate: 1.2 calls per minute, Service rate: 2.1 calls per minute. In a single-server model what is the probability of 3 customers in the system?

b. 0.402

c. 0.375

d. 0.593