The time between arrivals of oil tankers at a loading dock at Prudhoe Bay is given by the following probability distribution: Time Between Ship Arrivals (days) Probability 1 .05 2 .10 3 .20 4 .30 5 .20 6 .10 7 .05 1.00 The time required to fill a tanker with oil and prepare it for sea is given by the following probability distribution: Time to Fill and Prepare (days) Probability 3 .10 4 .20 5 .40 6 .30 1.00 a. Simulate the movement of tankers to and from the single loading dock for the first 20 arrivals. Compute the average time between arrivals, average waiting time to load, and average number of tankers waiting to be loaded. b. Discuss any hesitation you might have about using your results for decision making.
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 time between arrivals of oil tankers at a loading dock at Prudhoe Bay is given by the following
Time Between Ship Arrivals (days) Probability
1 .05
2 .10
3 .20
4 .30
5 .20
6 .10
7 .05
1.00
The time required to fill a tanker with oil and prepare it for sea is given by the following
probability distribution:
Time to Fill and Prepare (days) Probability
3 .10
4 .20
5 .40
6 .30
1.00
a. Simulate the movement of tankers to and from the single loading dock for the first 20 arrivals.
Compute the average time between arrivals, average waiting time to load, and average
number of tankers waiting to be loaded.
b. Discuss any hesitation you might have about using your results for decision making.
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