Final answer:
The problem is about determining the likelihood of a printer using more than 508 sheets of paper in a day, using the principles of normal distribution and Z-scores within the field of Statistics, a branch of Mathematics.
Step-by-step explanation:
The student asks about the probability that a printer uses more than 508 sheets of paper given that on average, the printer uses 500 sheets per day with a standard deviation of 10 sheets. This is a probability question that can typically be answered using normal distribution concepts. To calculate this, one would first find the Z-score for 508 sheets, which is (508 - 500) / 10 = 0.8. Using the Z-score, you would then consult a standard normal distribution table or use a calculator with statistical functions to find the probability of observing a value greater than Z=0.8.
Since we are dealing with probabilities and standard deviations, it's clear that the question falls into the subject of Statistics, which is part of Mathematics.