Math Work Problems (Ch. 12, 14, 15)
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