Use the distribution function fitting software to solve problems 7, 9, and 10.
Problems 7
Consider the following data set: 1, 2, 2, 3, 4, 5, 7, 8, 9, 10, 11, 13, 15, 16, 17, 17, 18, 18, 18, 20, 20, 21, 21, 24, 27, 29, 30, 37, 40, 40. What distribution family appears to fit the data best? Use summary statistics and a histogram to assist you.
Problems 8
Hypothesize one or more families of distributions for each of the following cases:
a. Time between customers arriving at a fast food restaurant during the evening dinner hour.
b. The time till the next failure of a machine whose failure rate is constant.
c. The time till the next failure of a machine whose failure rate increases in time.
d. The time to manually load a truck based on the operational design of a system. You ask the system designers for the minimum, average, and maximum times.
e. The time to perform a task with long task times possible.
f. The distribution of job types in a shop. g. The number of items each customer demands.
Problems 9
What distribution function family appears to fit the following data set best? Use summary statistics and a histogram to assist you. Test your selection using the plots discussed in section 3.3.2.
