During passing time at a high school, it takes a student an average of $4.1\text{ minutes}$ with a standard deviation of $0.88\text{ minutes}$ to make it from one class to another class.

If the students have $5\text{ minutes}$ to make it from one class to another class without being late, what is the probability when $100\text{ students}$ are randomly selected their average time will be GREATER than $5\text{ minutes}$?

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