Assume I have registered the duration of 10 tasks and built the table below with using this data:
|Duration||For how many tasks it happened|
|4 days||5 task|
|6 days||2 task|
|8 days||2 task|
|10 days||1 task|
Looking at this table, one can easily conclude that there's a 50% chance that a task would last 4 days. Therefore, my Monte Carlo simulation will yield "4 days" as the task duration 50% of the time.
However, there's also a possibility that the task would last 5 days, for example, but none of the tasks in my sample dataset took 5 days.
Should my MCS never yield 5 day tasks because it hasn't occurred in the sample data set or is there a way to make these discrete probability quantiles continuous?