Final answer:
The variable "Days" in this context is a quantitative discrete variable. The analysis being considered for its distribution is to determine the probability distribution of the number of days.
Step-by-step explanation:
In the given context, the variable "Days" represents the number of days, which is a quantitative discrete variable. This is because it takes on a countable number of values. The type of analysis that is being considered for its distribution is to determine the probability distribution of the number of days.