The Hoylake Rescue Squad receives an emergency call every 1, 2, 3, 4, 5, or 6 hours, according to the following probability distribution. The squad is on duty 24 hours per day, 7 days per week:

a. Simulate the emergency calls for 3 days (note that this will require a “running”, or cumulative, hourly clock), using the random number table.

b. Compute the average time between calls and compare this value with the expected value of the time between calls from the probability distribution. Why is the result different?

Hoylake Rescue Squad
Probability of Time between calls
P(x)	Cumulative (lower bound)	Time between calls
0.15	0.15	1
0.1	0.25	2
0.2	0.45	3
0.25	0.7	4
0.2	0.9	5
0.1	1	6
1
EV =	3.667
Average Time =		3.2075

	Simulation
simulation Number	RN	Time between calls	Cumulative clock
1	13		96
2	96		6
3	27		3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20

Transcribed Image Text:

Time Between Probability Emergency Calls (hr.) 1 0.15 2 0.10 3 0.20 4 0.25 0.20 6 0.10 1.00 Time Between Probability Emergency Calls (hr.) 1 0.15 2 0.10 3 0.20 4 0.25 0.20 6 0.10 1.00

Answer rating: 100% (QA)

Simulation simulation Number RN Time between calls Cumulative clock 1 0336913 3 3 2 0987196 1 4 3 05... View the full answer