The Hoylake Rescue Squad receives an emergency callevery 1, 2, 3, 4, 5, or 6 hours, according to the followingprobability distribution: Time Between emergencyCalls (hours) Probability1 0.052 0.103 0.304 0.305 0.206 0.051.00 The squad is on duty 24 hours per day, 7 days per week.a. Simulate the emergency calls for three days (note thatthis will require a “running,” or cumulative, hourlyclock) using the random number table.b. Compute the average time between calls and comparethis value with the expected value of the time between calls from the probabilistic distribution. Why are the re-sults different? c. How many calls were made during the three-day period?Can you logically assume that this is an average number of calls per three-day period? If not, how could you sim-ulate to determine such an average?
Contingency Table
A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.
Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
The Hoylake Rescue Squad receives an emergency call
every 1, 2, 3, 4, 5, or 6 hours, according to the following
probability distribution:
Time Between emergency
Calls (hours) Probability
1 0.05
2 0.10
3 0.30
4 0.30
5 0.20
6 0.05
1.00
The squad is on duty 24 hours per day, 7 days per week.
a. Simulate the emergency calls for three 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 probabilistic distribution. Why are the re-
sults different?
c. How many calls were made during the three-day period?
Can you logically assume that this is an average number
of calls per three-day period? If not, how could you sim-
ulate to determine such an average?
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