# Probability of Time between calls

## 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