Week 3 homework

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HW3_answer_sheet.xlsx
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P1

Hoylake Rescue Squad
Probability of Time between calls Simulation
P(x) Cumulative (lower bound) Time between calls simulation Number RN Time between calls Cumulative clock
0.15 1 1
0.1 2 2
0.2 3 3
0.25 4 4
0.2 5 5
0.1 6 6
1 7
8
EV = 9
Average Time = 10
11
12
13
14
15
16
17
18
19
20

P2

Petroco service
Simulation
Probability Cumulative Time between arrival (min)
0.35 1 Counts RN Time between calls RN Time between calls Cumulative clock
0.25 2 1
0.2 3 2
0.2 4 3
1 4
5
a. Avg Arrival time 6
b. Avg. arrival time 7
8
Compare a. and b. 9
10
11
12
13
14
15
16
17
18
19
20

P3

Dynaco Manufacturing
Probability breakdown per week Simulation
P(x) Cumulative Breakdown Week RN Breakdowns
0.1 0 1
0.2 1 2
0.15 2 3
0.3 3 4
0.15 4 5
0.1 5 6
1 7
8
9
Simulated avg. breakdown 10
Average breakdowns = 11
12
13
14
15
16
17
18
19
20

P4

Sun Visor or Umbrella?
Simulation
P(x) Cumulative Sun Visor Week RN SunVisor ($) RN Umbrella ($)
0.35 -400 1
0.25 -200 2
0.4 1500 3
1 4
5
6
P(x) Cumulative Umbrella 7
0.35 2100 8
0.25 0 9
0.4 -800 10
1 11
12
13
14
15
16
17
18
19
20
Average

P5

Dynaco Manufacturing Table from P3
Repair Time Simulation Breakdown
P(x) Cumulative Repair (hrs) Week RN Breakdown # RN Repair time/breakdown Repair Time/week P(x) Cumulative Breakdown
0.2 1 1 0 0.1 0
0.5 2 2 0 0.2 1
0.3 3 3 0 0.15 2
1 4 0 0.3 3
5 0 0.15 4
6 0 0.1 5
Simulated avg. repair time 7 0
8 0
9 0
Theoretically calculated 10 0
11 0
12 0
13 0
14 0
15 0
16 0
17 0
18 0
19 0
20 0
Average repair time