## Unknown distribuions

The students don't know the probability distribution of the time they take to complete their homework, but they know it has mean 14 days and a standard deviation of 2.

How many days before a given deadline should they start doing the homework so they are 99% sure that they are gonna make it in it.

Shouldnt I assume that the variable follows a normal distribution with mean 14 and standard deviation of 2? and should I use continuity correction or not? I thing it shouldn't be necessary since the variable we are talking about is a continuous one, at least I think it is...