Use the distribution function fitting software

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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.

Reference no: EM131072602

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